FUNCION DENSIDAD DISTRI NORMAL

Funcin Densidad Distribucin Normal0.000.010.020.030.040.050.060.070.080.09A02.4908950.000.40146212510.40143849860.40136763660.40124959020.40108444520.4008723210.40061337060.40030778060.39995577020.3995575908A11.4660030.100.39911352590.39862388960.39808902650.39750931080.39688514520.396216960.39550521250.39475038540.39395298610.3931135455A2 =-0.024390.200.39223261680.39131077420.39034861170.38934674210.38830579540.38722641750.38610926920.38495502440.38376436930.3825380005A3 =0.1782570.300.38127662440.37998095490.37865171310.37728962540.37589542240.37446983750.3730136060.37152746350.37001214530.36846838450.400.36689691160.36529845290.36367373010.36202345880.36034834760.35864909760.35692640130.35518094180.3534133920.35162441440.500.34981465970.34798476690.34613536230.34426705930.34238045780.3404761440.33855468990.33661665310.33466257660.33269298860.600.33070840210.32870931550.32669621180.32466955910.32262981040.3205774040.31851276310.31643629660.3143483990.31224945050.700.31013981770.30801985360.30588989810.30375027840.30160130930.2994432940.29727652410.29510128040.29291783340.29072644380.800.28852736330.28632083470.28410709310.28188636610.27965887460.27742483360.27518445240.27293793590.27068548480.26842729650.900.26616356580.26389448530.26162024660.25934104060.2570570580.25476849070.25247553160.25017837580.24787722120.24557226871.000.24326372340.24095179470.23863669710.23631865060.23399788130.2316746220.22934911240.22702159960.22469233850.22236159241.100.22002963280.21769674020.21536320390.21302932270.21069540460.2083617670.2060287370.20369665130.20136585610.19903670711.200.19670956960.19438481790.19206283560.1897440150.18742875690.18511747060.1828105730.18050848840.17821164840.17592049091.300.17363545980.17135700450.16908557940.16682164280.16456565690.16231808670.16007939930.15785006370.15563054930.15342132561.400.15122286170.14903562480.14686008010.14469668980.14254591210.1404082010.13828400490.13617376620.13407792060.13199689611.500.12993111290.12788098170.12584690420.12382927160.12182846440.11984485170.11787879080.11593062640.11400069060.11208930181.600.11019676490.10832337060.10646939530.10463510050.10282073280.10102652370.09925268910.09749942980.09576693050.09405536071.700.09236487390.09069560830.0890476860.08742121410.08581628390.08423297150.08267133810.08113142980.07961327820.07811690031.800.07664229920.07518946410.07375837050.07234898120.07096124570.06959510130.06825047340.06692727550.06562540990.06434476831.900.06308523180.06184667140.0606289490.05943191690.0582554190.05709929110.05596336080.05484744880.05375136850.05267492692.000.05161792520.05058015840.04956141670.04856148530.04758014480.0466171720.04567233960.04474541730.04383617180.04294436692.100.04206976420.04121212360.04037120290.03954675870.03873854670.03794632140.03716983720.03640884790.03566310730.03493236962.200.03421638910.03351492110.03282772130.03215454670.03149515540.03084930690.03021676220.02959728380.02899063630.0283965862.300.02781490130.02724535280.02668771340.02614175820.0256072650.02508401380.02457178750.02407037160.02357955420.02309912622.400.02262888140.02216861650.0217181310.02127722730.02084571090.02042339010.02001007640.0196055840.01920973040.0188223362.500.01844322410.01807222120.01770915670.01735386290.01700617530.01666593210.01633297460.0160071470.01568829640.01537627282.600.0150709290.01477212060.01447970620.01419354680.01391350650.01363945190.01337125230.01310877970.01285190850.0126005162.700.01235448180.01211368790.0118780190.01164736210.01142160650.01120064390.01098436850.01077267640.01056546610.01036263842.800.0101640960.0099697440.00977948920.00959324080.00941090980.00923240920.00905765390.00888656070.00871904820.00855503692.900.00839444890.00823720840.00808324080.00793247360.00778483580.00764025780.00749867180.00736001150.0072242120.007091213.000.00696094360.00683335220.00670837660.00658595920.00646604330.00634857390.0062334970.00612075980.00601031090.00590210013.100.0057960780.00569219670.00559040920.00549066970.00539293340.00529715650.00520329610.00511131060.0050211590.00493280143.200.0048461990.00476131350.00467810770.00459654540.00451659080.00443820940.00436136720.00428603110.00421216860.00413974813.300.00406873870.00399911020.00393083290.00386387820.00379821770.00373382390.00367066990.00360872940.00354797660.00348838653.400.00342993440.00337259630.00331634890.0032611690.00320703440.00315392320.00310181390.00305068550.00300051770.00295129043.500.00290298410.00285557970.00280905840.00276340210.00271859290.00267461330.00263144630.00258907510.00254748350.00250665553.600.00246657540.00242722820.00238859880.00235067260.00231343550.00227687330.00224097260.002205720.00217110240.00213710713.700.00210372150.00207093350.00203873120.00200710270.00197603690.00194552230.00191554820.00188610380.00185717860.00182876243.800.00180084520.00177341720.00174646870.00171999050.00169397320.0016684080.0016432860.00161859860.00159433740.00157049423.900.00154706080.00152402930.00150139210.00147914160.00145727030.0014357710.00141463660.00139386020.00137343490.001353354

FUNCI ACUMU DE ABRAMOWITZ Y STE

Funcin Acumulada de Abramowitz y StegunA0=0.4361836A1=-0.1201676F(Z)=1-f(Z)*(A0*t+A1*t^2+A2*t^3)A2=0.937298t=1/(1+0.33267*IZI)00.010.020.030.040.050.060.070.080.0900.4968420.5008630.5048920.5089290.5129720.5170210.5210760.5251350.5291980.5332640.10.5373330.5414040.5454750.5495470.5536180.5576870.5617550.5658190.5698790.5739350.20.5779860.5820300.5860670.5900970.5941180.5981290.6021310.6061210.6101000.6140670.30.6180210.6219610.6258870.6297970.6336920.6375710.6414320.6452770.6491030.6529100.40.6566980.6604670.6642150.6679430.6716490.6753340.6789970.6826380.6862560.6898520.50.6934240.6969720.7004960.7039970.7074730.7109240.7143510.7177530.7211290.7244810.60.7278070.7311080.7343840.7376340.7408580.7440570.7472300.7503780.7535000.7565960.70.7596670.7627130.7657330.7687280.7716980.7746430.7775620.7804570.7833270.7861730.80.7889940.7917900.7945630.7973110.8000350.8027360.8054130.8080660.8106970.8133040.90.8158880.8184500.8209890.8235050.8259990.8284710.8309210.8333490.8357550.83814010.8405040.8428460.8451670.8474670.8497460.8520040.8542420.8564590.8586550.8608311.10.8629870.8651230.8672390.8693340.8714100.8734650.8755010.8775170.8795130.8814891.20.8834450.8853820.8872990.8891970.8910750.8929330.8947710.8965900.8983890.9001691.30.9019290.9036690.9053900.9070910.9087720.9104330.9120750.9136970.9153000.9168821.40.9184450.9199880.9215110.9230140.9244980.9259620.9274060.9288300.9302350.9316201.50.9329850.9343300.9356560.9369620.9382490.9395160.9407630.9419920.9432010.9443901.60.9455610.9467120.9478440.9489580.9500520.9511280.9521850.9532240.9542450.9552471.70.9562320.9571980.9581470.9590780.9599910.9608870.9617670.9626290.9634740.9643031.80.9651160.9659120.9666930.9674570.9682060.9689400.9696580.9703620.9710510.9717251.90.9723850.9730300.9736620.9742800.9748850.9754760.9760540.9766200.9771730.97771320.9782410.9787580.9792630.9797560.9802380.9807080.9811680.9816180.9820560.9824852.10.9829030.9833120.9837110.9841010.9844810.9848520.9852150.9855680.9859130.9862502.20.9865790.9869000.9872130.9875190.9878170.9881080.9883920.9886680.9889390.9892022.30.9894590.9897100.9899540.9901930.9904250.9906520.9908740.9910900.9913000.9915062.40.9917060.9919010.9920920.9922780.9924590.9926350.9928080.9929760.9931400.9933002.50.9934560.9936080.9937560.9939010.9940420.9941790.9943140.9944440.9945720.9946972.60.9948180.9949360.9950520.9951650.9952750.9953820.9954870.9955890.9956880.9957852.70.9958800.9959730.9960630.9961510.9962370.9963200.9964020.9964820.9965600.9966362.80.9967100.9967820.9968530.9969220.9969890.9970550.9971190.9971810.9972420.9973022.90.9973600.9974170.9974730.9975270.9975800.9976310.9976820.9977310.9977790.99782630.9978720.9979170.9979600.9980030.9980450.9980860.9981260.9981650.9982030.9982403.10.9982760.9983110.9983460.9983800.9984130.9984450.9984770.9985080.9985380.9985683.20.9985970.9986250.9986520.9986790.9987060.9987310.9987570.9987810.9988050.9988293.30.9988520.9988750.9988970.9989180.9989390.9989600.9989800.9990000.9990190.9990383.40.9990570.9990750.9990920.9991100.9991270.9991430.9991590.9991750.9991910.9992063.50.9992210.9992360.9992500.9992640.9992780.9992910.9993040.9993170.9993300.9993423.60.9993540.9993660.9993770.9993890.9994000.9994110.9994210.9994320.9994420.9994523.70.9994620.9994710.9994810.9994900.9994990.9995080.9995170.9995250.9995340.9995423.80.9995500.9995580.9995650.9995730.9995800.9995880.9995950.9996020.9996090.9996153.90.9996220.9996280.9996350.9996410.9996470.9996530.9996590.9996650.9996700.999676

FUNCIO ACUMU DE MASTINGh3Funcin Acumulada de MastingB1=0.3193815B2=-0.3565638F(Z)=1-f(Z)*(B1*t+B2*t^2+B3*t^3+B4*t^4+B5*t^5)B3=1.7814779B4=-1.821256t=1/(1+0.2316419*IZI)B5=1.33027440.000.010.020.030.040.050.060.070.080.090.000.4968420.5008610.5048880.5089230.5129650.5170130.5210670.5251250.5291880.5332540.100.5373230.5413930.5454650.5495370.5536080.5576780.5617460.5658110.5698720.5739280.200.5779790.5820240.5860620.5900930.5941140.5981270.6021290.6061210.6101010.6140680.300.6180230.6219640.6258900.6298010.6336970.6375760.6414390.6452830.6491100.6529180.400.6567070.6604760.6642240.6679520.6716590.6753450.6790080.6826490.6862680.6898630.500.6934350.6969830.7005080.7040080.7074840.7109350.7143620.7177640.7211400.7244920.600.7278180.7311190.7343940.7376430.7408680.7440660.7472390.7503860.7535080.7566040.700.7596750.7627200.7657400.7687340.7717040.7746480.7775670.7804610.7833310.7861760.800.7889960.7917920.7945640.7973120.8000360.8027360.8054120.8080650.8106950.8133020.900.8158860.8184470.8209850.8235010.8259950.8284660.8309160.8333430.8357490.8381341.000.8404970.8428390.8451590.8474590.8497380.8519960.8542330.8564500.8586460.8608221.100.8629780.8651130.8672290.8693240.8714000.8734550.8754910.8775060.8795020.8814781.200.8834350.8853720.8872890.8891860.8910640.8929220.8947610.8965800.8983790.9001591.300.9019190.9036590.9053800.9070810.9087630.9104240.9120660.9136880.9152910.9168741.400.9184370.9199800.9215030.9230070.9244910.9259550.9274000.9288240.9302290.9316141.500.9329790.9343250.9356510.9369580.9382450.9395120.9407600.9419890.9431980.9443881.600.9455580.9467100.9478430.9489560.9500510.9511280.9521850.9532240.9542450.9552481.700.9562330.9571990.9581480.9590800.9599930.9608900.9617700.9626320.9634780.9643071.800.9651200.9659170.9666970.9674620.9682110.9689450.9696640.9703680.9710570.9717311.900.9723910.9730370.9736690.9742870.9748920.9754830.9760620.9766280.9771810.9777212.000.9782500.9787660.9792710.9797650.9802470.9807170.9811770.9816270.9820660.9824942.100.9829130.9833220.9837210.9841100.9844910.9848620.9852250.9855790.9859240.9862612.200.9865900.9869110.9872240.9875290.9878280.9881180.9884020.9886790.9889490.9892132.300.9894700.9897210.9899650.9902040.9904360.9906630.9908850.9911010.9913110.9915162.400.9917170.9919120.9921030.9922880.9924690.9926460.9928180.9929870.9931500.9933102.500.9934660.9936180.9937660.9939110.9940520.9941900.9943240.9944550.9945820.9947072.600.9948280.9949470.9950620.9951750.9952850.9953920.9954960.9955980.9956980.9957952.700.9958900.9959820.9960720.9961600.9962460.9963300.9964110.9964910.9965690.9966452.800.9967190.9967910.9968620.9969310.9969980.9970630.9971270.9971900.9972510.9973112.900.9973690.9974250.9974810.9975350.9975880.9976390.9976900.9977390.9977870.9978343.000.9978800.9979240.9979680.9980110.9980520.9980930.9981330.9981720.9982100.9982473.100.9982830.9983190.9983530.9983870.9984200.9984520.9984840.9985150.9985450.9985743.200.9986030.9986310.9986590.9986860.9987120.9987380.9987630.9987870.9988110.9988353.300.9988580.9988800.9989020.9989240.9989450.9989660.9989860.9990050.9990250.9990443.400.9990620.9990800.9990980.9991150.9991320.9991480.9991650.9991800.9991960.9992113.500.9992260.9992410.9992550.9992690.9992820.9992960.9993090.9993220.9993340.9993463.600.9993580.9993700.9993820.9993930.9994040.9994150.9994260.9994360.9994460.9994563.700.9994660.9994760.9994850.9994940.9995030.9995120.9995210.9995290.9995370.9995463.800.9995540.9995610.9995690.9995770.9995840.9995910.9995980.9996050.9996120.9996193.900.9996250.9996320.9996380.9996440.9996500.9996560.9996620.9996680.9996730.999679

Estimacin de Parmetros

C0=2.515517C1=0.802853C2=0.010328D1=1.432788D2=0.189269D3=0.001308

1920212223596099ppwtppwtppwtppwtppwtppwtppwtppwt10.0500000.0500002.4477471.6452110.0476190.0476192.4675991.6687570.0454550.0454552.4863801.6909950.0434780.0434782.5041941.7120550.0416670.0416672.5211321.7320500.0166670.0166672.8615892.1284880.0163930.0163932.8673592.1351260.0100000.0100003.0348542.32678520.1000000.1000002.1459661.2817290.0952380.0952382.1685831.3093660.0909090.0909092.1899291.3353880.0869570.0869572.2101341.3599630.0833330.0833332.2293081.3832330.0333330.0333332.6081401.8343250.0327870.0327872.6144701.8417380.0200000.0200002.7971502.05418930.1500000.1500001.9478811.0364310.1428570.1428571.9727701.0675930.1363640.1363641.9962111.0968490.1304350.1304352.0183571.1244050.1250000.1250002.0393341.1504360.0500000.0500002.4477471.6452110.0491800.0491802.4544901.6532140.0300000.0300002.6482291.88121340.2000000.2000001.7941230.8414570.1904760.1904761.8211140.8760080.1818180.1818181.8464820.9083500.1739130.1739131.8704010.9387320.1666670.1666671.8930180.9673630.0666670.0666672.3272521.5013850.0655740.0655742.3343431.5098950.0400000.0400002.5372721.75107750.2500000.2500001.6651090.6741890.2380950.2380951.6941570.7121720.2272730.2272731.7213970.7476160.2173910.2173911.7470300.7808180.2083330.2083331.7712230.8120280.0833330.0833332.2293081.3832330.0819670.0819672.2367101.3922040.0500000.0500002.4477471.64521160.3000000.3000001.5517560.5240020.2857140.2857141.5828850.5655740.2727270.2727271.6120070.6042350.2608700.2608701.6393500.6403410.2500000.2500001.6651090.6741890.1000000.1000002.1459661.2817290.0983610.0983612.1536551.2911320.0600000.0600002.3720921.55509770.3500000.3500001.4490150.3848770.3333330.3333331.4823040.4302920.3181820.3181821.5133620.4723670.3043480.3043481.5424550.5115310.2916670.2916671.5698050.5481370.1166670.1166672.0728891.1919320.1147540.1147542.0808481.2017500.0700000.0700002.3061921.47607880.4000000.4000001.3537290.2529330.3809520.3809521.3893030.3025450.3636360.3636361.4223930.3483120.3478260.3478261.4533080.3907530.3333330.3333331.4823040.4302920.1333330.1333332.0074381.1108280.1311480.1311482.0156551.1210470.0800000.0800002.2475451.40532290.4500000.4500001.2637310.1253810.4285710.4285711.3017660.1796600.4090910.4090911.3370250.2294860.3913040.3913041.3698680.2754960.3750000.3750001.4005920.3182000.1500000.1500001.9478811.0364310.1475410.1475411.9563481.0470450.0900000.0900002.1945141.340969100.5000000.5000001.177410-0.0000000.4761900.4761901.2181440.0595620.4545450.4545451.2557530.1139240.4347830.4347831.2906660.1638770.4166670.4166671.3232300.2100460.1666670.1666671.8930180.9673630.1639340.1639341.9017300.9783660.1000000.1000002.1459661.281729110.5500000.4500001.2637310.1253810.5238100.4761901.2181440.0595620.5000000.5000001.177410-0.0000000.4782610.4782611.2145770.0543750.4583330.4583331.2491270.1043880.1833330.1833331.8419820.9026220.1803280.1803281.8509340.9140130.1100000.1100002.1010831.226669120.6000000.4000001.3537290.2529330.5714290.4285711.3017660.1796600.5454550.4545451.2557530.1139240.5217390.4782611.2145770.0543750.5000000.5000001.177410-0.0000000.2000000.2000001.7941230.8414570.1967210.1967211.8033120.8532360.1200000.1200002.0592541.175091130.6500000.3500001.4490150.3848770.6190480.3809521.3893030.3025450.5909090.4090911.3370250.2294860.5652170.4347831.2906660.1638770.5416670.4583331.2491270.1043880.2166670.2166671.7489400.7832870.2131150.2131151.7583650.7954570.1300000.1300002.0200101.126459140.7000000.3000001.5517560.5240020.6666670.3333331.4823040.4302920.6363640.3636361.4223930.3483120.6086960.3913041.3698680.2754960.5833330.4166671.3232300.2100460.2333330.2333331.7060410.7276540.2295080.2295081.7157020.7402190.1400000.1400001.9829841.080352150.7500000.2500001.6651090.6741890.7142860.2857141.5828850.5655740.6818180.3181821.5133620.4723670.6521740.3478261.4533080.3907530.6250000.3750001.4005920.3182000.2500000.2500001.6651090.6741890.2459020.2459021.6750070.6871530.1500000.1500001.9478811.036431160.8000000.2000001.7941230.8414570.7619050.2380951.6941570.7121720.7272730.2727271.6120070.6042350.6956520.3043481.5424550.5115310.6666670.3333331.4823040.4302920.2666670.2666671.6258880.6225880.2622950.2622951.6360230.6359570.1600000.1600001.9144620.994422170.8500000.1500001.9478811.0364310.8095240.1904761.8211140.8760080.7727270.2272731.7213970.7476160.7391300.2608701.6393500.6403410.7083330.2916671.5698050.5481370.2833330.2833331.5881630.5725970.2786890.2786891.5985370.5863800.1700000.1700001.8825290.954096180.9000000.1000002.1459661.2817290.8571430.1428571.9727701.0675930.8181820.1818181.8464820.9083500.7826090.2173911.7470300.7808180.7500000.2500001.6651090.6741890.3000000.3000001.5517560.5240020.2950820.2950821.5623710.5382070.1800000.1800001.8519170.915263190.9500000.0500002.4477471.6452110.9047620.0952382.1685831.3093660.8636360.1363641.9962111.0968490.8260870.1739131.8704010.9387320.7916670.2083331.7712230.8120280.3166670.3166671.5165130.4766200.3114750.3114751.5273730.4912580.1900000.1900001.8224880.877763200.9523810.0476192.4675991.6687570.9090910.0909092.1899291.3353880.8695650.1304352.0183571.1244050.8333330.1666671.8930180.9673630.3333330.3333331.4823040.4302920.3278690.3278691.4934130.4453740.2000000.2000001.7941230.841457210.9545450.0454552.4863801.6909950.9130430.0869572.2101341.3599630.8750000.1250002.0393341.1504360.3500000.3500001.4490150.3848770.3442620.3442621.4603780.4004170.2100000.2100001.7667190.806227220.9565220.0434782.5041941.7120550.9166670.0833332.2293081.3832330.3666670.3666671.4165470.3402520.3606560.3606561.4281680.3562620.2200000.2200001.7401880.771970230.9583330.0416672.5211321.7320500.3833330.3833331.3848110.2963040.3770490.3770491.3966960.3128020.2300000.2300001.7144540.738597240.4000000.4000001.3537290.2529330.3934430.3934431.3658840.2699350.2400000.2400001.6894470.706027250.4166670.4166671.3232300.2100460.4098360.4098361.3356630.2275700.2500000.2500001.6651090.674189260.4333330.4333331.2932500.1675550.4262300.4262301.3059690.1856230.2600000.2600001.6413860.643022270.4500000.4500001.2637310.1253810.4426230.4426231.2767440.1440140.2700000.2700001.6182290.612468280.4666670.4666671.2346170.0834460.4590160.4590161.2479340.1026700.2800000.2800001.5955970.582477290.4833330.4833331.2058600.0416760.4754100.4754101.2194900.0615180.2900000.2900001.5734510.553002300.5000000.5000001.177410-0.0000000.4918030.4918031.1913660.0204890.3000000.3000001.5517560.524002310.5166670.4833331.2058600.0416760.5081970.4918031.1913660.0204890.3100000.3100001.5304790.495438320.5333330.4666671.2346170.0834460.5245900.4754101.2194900.0615180.3200000.3200001.5095920.467275330.5500000.4500001.2637310.1253810.5409840.4590161.2479340.1026700.3300000.3300001.4890690.439480340.5666670.4333331.2932500.1675550.5573770.4426231.2767440.1440140.3400000.3400001.4688840.412024350.5833330.4166671.3232300.2100460.5737700.4262301.3059690.1856230.3500000.3500001.4490150.384877360.6000000.4000001.3537290.2529330.5901640.4098361.3356630.2275700.3600000.3600001.4294410.358015370.6166670.3833331.3848110.2963040.6065570.3934431.3658840.2699350.3700000.3700001.4101430.331411380.6333330.3666671.4165470.3402520.6229510.3770491.3966960.3128020.3800000.3800001.3911030.305045390.6500000.3500001.4490150.3848770.6393440.3606561.4281680.3562620.3900000.3900001.3723040.278892400.6666670.3333331.4823040.4302920.6557380.3442621.4603780.4004170.4000000.4000001.3537290.252933410.6833330.3166671.5165130.4766200.6721310.3278691.4934130.4453740.4100000.4100001.3353640.227148420.7000000.3000001.5517560.5240020.6885250.3114751.5273730.4912580.4200000.4200001.3171940.201519430.7166670.2833331.5881630.5725970.7049180.2950821.5623710.5382070.4300000.4300001.2992080.176026440.7333330.2666671.6258880.6225880.7213110.2786891.5985370.5863800.4400000.4400001.2813900.150652450.7500000.2500001.6651090.6741890.7377050.2622951.6360230.6359570.4500000.4500001.2637310.125381460.7666670.2333331.7060410.7276540.7540980.2459021.6750070.6871530.4600000.4600001.2462170.100196470.7833330.2166671.7489400.7832870.7704920.2295081.7157020.7402190.4700000.4700001.2288390.075081480.8000000.2000001.7941230.8414570.7868850.2131151.7583650.7954570.4800000.4800001.2115850.050020490.8166670.1833331.8419820.9026220.8032790.1967211.8033120.8532360.4900000.4900001.1944450.024998500.8333330.1666671.8930180.9673630.8196720.1803281.8509340.9140130.5000000.5000001.177410-0.000000510.8500000.1500001.9478811.0364310.8360660.1639341.9017300.9783660.5100000.4900001.1944450.024998520.8666670.1333332.0074381.1108280.8524590.1475411.9563481.0470450.5200000.4800001.2115850.050020530.8833330.1166672.0728891.1919320.8688520.1311482.0156551.1210470.5300000.4700001.2288390.075081540.9000000.1000002.1459661.2817290.8852460.1147542.0808481.2017500.5400000.4600001.2462170.100196550.9166670.0833332.2293081.3832330.9016390.0983612.1536551.2911320.5500000.4500001.2637310.125381560.9333330.0666672.3272521.5013850.9180330.0819672.2367101.3922040.5600000.4400001.2813900.150652570.9500000.0500002.4477471.6452110.9344260.0655742.3343431.5098950.5700000.4300001.2992080.176026580.9666670.0333332.6081401.8343250.9508200.0491802.4544901.6532140.5800000.4200001.3171940.201519590.9833330.0166672.8615892.1284880.9672130.0327872.6144701.8417380.5900000.4100001.3353640.227148600.9836070.0163932.8673592.1351260.6000000.4000001.3537290.252933610.6100000.3900001.3723040.278892620.6200000.3800001.3911030.305045630.6300000.3700001.4101430.331411640.6400000.3600001.4294410.358015650.6500000.3500001.4490150.384877660.6600000.3400001.4688840.412024670.6700000.3300001.4890690.439480680.6800000.3200001.5095920.467275690.6900000.3100001.5304790.495438700.7000000.3000001.5517560.524002710.7100000.2900001.5734510.553002720.7200000.2800001.5955970.582477730.7300000.2700001.6182290.612468740.7400000.2600001.6413860.643022750.7500000.2500001.6651090.674189760.7600000.2400001.6894470.706027770.7700000.2300001.7144540.738597780.7800000.2200001.7401880.771970790.7900000.2100001.7667190.806227800.8000000.2000001.7941230.841457810.8100000.1900001.8224880.877763820.8200000.1800001.8519170.915263830.8300000.1700001.8825290.954096840.8400000.1600001.9144620.994422850.8500000.1500001.9478811.036431860.8600000.1400001.9829841.080352870.8700000.1300002.0200101.126459880.8800000.1200002.0592541.175091890.8900000.1100002.1010831.226669900.9000000.1000002.1459661.281729910.9100000.0900002.1945141.340969920.9200000.0800002.2475451.405322930.9300000.0700002.3061921.476078940.9400000.0600002.3720921.555097950.9500000.0500002.4477471.645211960.9600000.0400002.5372721.751077970.9700000.0300002.6482291.881213980.9800000.0200002.7971502.054189990.9900000.0100003.0348542.326785100

Datos de caudales

nAoDescargas = XiLN(Xi)(Xi-Xp)(Xi-Xp)^3(Xi-Xp)^211950104009.2495610851-4058.9830508475-66873139646.176116475343.407066921951107009.2779990204-3758.9830508475-53114256003.544614129953.576558531952201009.9084750945641.0169491525179503207736.7631821072.22062634195382109.0131082024-6248.9830508475-244021470661.11439049789.169778851954143009.5680148162-158.9830508475-4018393.662448425275.61045676516195580408.9921843622-6418.9830508475-264483562968.2141203343.40706697195682109.0131082024-6248.9830508475-244021470661.11439049789.169778881957139009.5396441191-558.9830508475-174660990.617346312462.0511347319195883909.0347957995-6068.9830508475-223536153661.97636832555.2714737101959185009.82552601114041.016949152565989071247.245416329817.9833381111960130009.4727046364-1458.9830508475-3105637342.240442128631.54266015121961164009.70503661381941.01694915257312872189.503323767546.79689745131962145009.581903928441.016949152569006.50991581741682.3901177823141963130009.4727046364-1458.9830508475-3105637342.240442128631.54266015151964172009.75266466282741.016949152520593737044.43017513173.91554151161965139009.5396441191-558.9830508475-174660990.617346312462.051134731171966119009.3842936791-2558.9830508475-16757229907.59526548394.25452456181967136009.5178250717-858.9830508475-633802260.367417737851.881643205191968124009.4254517516-2058.9830508475-8728875813.943974239411.2036771201969183009.81465633883841.016949152556668102491.140814753411.2036771211970129009.4649825903-1558.9830508475-3788996296.563912430428.15282964221971182009.80917687313741.016949152552356309638.512213995207.813846623197299009.2002900361-4558.9830508475-94755392044.91220784326.4579144241973102009.2301429993-4258.9830508475-77253423656.517918138936.627405925197490209.1071996131-5438.9830508475-160898915317.53529582536.6274059261975118009.3758548105-2658.9830508475-18799517675.4787070190.86469405271976161009.6865745511641.01694915254419154648.56682692936.62740592281977169009.73506890092441.016949152514544955096.71395958563.74604999291978118009.3758548105-2658.9830508475-18799517675.4787070190.86469405301979139009.5396441191-558.9830508475-174660990.617346312462.051134731311980123009.4173545414-2158.9830508475-10063468666.57254661207.81384659321981151009.6224500228641.0169491525263395613.80667410902.729100834331982119009.3842936791-2558.9830508475-16757229907.59526548394.25452456341983110009.3056505518-3458.9830508475-41385223208.370811964563.74605351984160009.68034400121541.01694915253659504168.81962374733.23757541361985116009.3587603771-2858.9830508475-23368710160.39618173784.08503303371986199009.89847501075441.0169491525161079486438.28229604665.4409652381987186009.83091685974141.016949152571010247150.721417148021.3731686391988180009.79812703693541.016949152544400106984.102612538801.0341856401989131009.4803675092-1358.9830508475-2509817370.967821846834.932490664119902910010.278493453214641.01694915253138439276337.74214359377.305372421991103009.2398991742-4158.9830508475-71938512159.821617297140.0172364431992122009.4091912307-2258.9830508475-11527600502.25195103004.42401608441993156009.65502619321141.01694915251485512419.322331301919.67825338451994127009.4493572724-1758.9830508475-5442331154.363393094021.37316863461995131009.4803675092-1358.9830508475-2509817370.967821846834.93249066471996192009.8626655584741.0169491525106564983927.5122477241.7121517481997195009.87816974465041.0169491525128101576044.71725411851.88164324919982300010.04324949498541.0169491525623058393683.32772948970.52571150199967008.8098628054-7758.9830508475-467104885362.92460201817.983338151200071308.8720665134-7328.9830508475-393668941062.72353713992.5596093522001143009.5680148162-158.9830508475-4018393.662448425275.6104567651532002206009.93304635486141.0169491525231590578779.56437712089.16977885420032560010.150347630511141.01694915251382848187512.69124122258.66130455200481809.0094474296-6278.9830508475-247552850940.63239425628.15282965620053410010.437052663319641.01694915257576906207104.76385769546.796898572006161009.6865745511641.01694915254419154648.56682692936.62740592582007102009.2301429993-4258.9830508475-77253423656.517918138936.6274059592008123009.4173545414-2158.9830508475-10063468666.57254661207.81384659SUMA =10990858791028.41570972338.98305

=5160.1017250895media14458.98305084759.5220535759desvest5204.39525617210.3363433875varianza27085729.98246640.1131268743Coef. Var.0.35994199850.0353225683n =5959

PROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS25102050100Variable Aleatoria Estndar-0.0000000.8414571.2817291.6452112.0541892.326785Caudales hallados usandoDistribucin Normal14458.98318838.25621129.60623021.31425149.79226568.494

Log Normal II ParametrosCLCULO DEL FACTOR DE FRECUENCIA PARA LA DISTRIBUCION LOG NORMAL II PARMETROSCV =0.0353225683media =9.5220535759Estos parmetros son hallados para los 59 aos del problema.desvest =0.3363433875Coeficiente deVariacinPROBABILIDAD ACUMULADA508090959899TIEMPO DE RETORNO EN AOS251020501000.05-0.02500.83281.29621.68662.13432.43790.10-0.04960.82161.30751.72502.21322.54990.15-0.07380.80791.31531.76002.29012.66180.20-0.09710.79201.31971.79132.36432.77280.25-0.11940.77391.32051.81862.43512.88180.30-0.14060.75401.31801.84172.50192.98800.35-0.16040.73261.31221.86052.56423.09060.359942-0.16420.72821.31061.86372.57603.11050.40-0.17880.70991.30331.87502.62163.18870.45-0.19570.68631.29161.88522.67383.28180.50-0.21110.66201.27741.89132.72063.36930.55-0.22510.63721.26081.89352.76193.45090.59-0.23510.61721.24621.89252.79113.51180.60-0.23750.61221.24241.89202.79783.52640.65-0.24850.58721.22221.88702.82843.59540.70-0.25820.56251.20061.87902.85373.65810.75-0.26670.53801.17791.86822.87403.71440.80-0.27390.51411.15441.85482.88963.76450.85-0.28010.49071.13021.83922.90073.80850.90-0.28520.46801.10551.82172.90773.84670.95-0.28950.44601.08061.80252.91093.87931.00-0.29290.42471.05551.78202.91043.9067Para el Clculo de caudales PedidosCoeficiente de Variacinla muestraPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS251020501000.3599-0.16417986860.72820432151.31064786691.86374181262.57600126633.110458633

Variable Aleatoria Estndar-0.00000.84151.28171.64522.05422.3268Caudal Pedido usando distribucinLog 2 parmetros13657.6318125.4421018.4223751.7027254.2929871.27Caudal Pedido usando Factor de Frecuencia13604.5318248.8521280.1124158.6327865.5130647.04

Log Normal III ParametrosDISTRIBUCIN LOG NORMAL DE 3 PARMETROSdesvest =5204.3952561721N =59Segn frmulas de separataM3 =186285742220.821Xo =2526.71Sesgo =1.3914575883Xo =2526.70962718941 =1.3914575883y =0.42389W =0.522482417y =0.4173153951W =0.522482417y =9.28011z2 =0.436161247y =9.2999259911Z2 =0.436161247y =0.4173153951uy =9.2999259911Coeficiente deSesgoPROBABILIDAD ACUMULADAParmetros de ClculoXo =2526.7096271894508090959899 TIEMPO DE RETORNO EN AOS25102050100WZ2VARIABLE ALEATORIA ESTNDAR-0.0000000.8414571.2817291.6452112.0541892.326785-2.000.23659-0.61417-1.24388-1.89220-2.79521-3.520662.41-0.60-1.800.22395-0.63928-1.26231-1.89343-2.75868-3.444332.25-0.55-1.600.20917-0.66525-1.27941-1.89071-2.71465-3.357972.08-0.49-1.400.19199-0.69179-1.29453-1.88323-2.66230-3.260951.92-0.44-1.200.17217-0.71847-1.30693-1.87013-2.60093-3.152941.77-0.38-1.000.14955-0.74471-1.31579-1.85061-2.53011-3.034031.62-0.32-0.800.12409-0.76978-1.32025-1.82397-2.44982-2.904951.48-0.26-0.600.09592-0.79284-1.31951-1.78983-2.36057-2.767141.34-0.20-0.400.06542-0.81299-1.31297-1.74821-2.26356-2.622831.22-0.13-0.200.03317-0.82940-1.30033-1.69965-2.16063-2.474931.10-0.070.000.000000.000000.000000.000000.000000.000001.000.000.20-0.033170.829401.300331.699652.160632.474930.900.070.40-0.065420.812991.312971.748212.263562.622830.820.130.60-0.095920.792841.319511.789832.360572.767140.740.200.80-0.124090.769781.320251.823972.449822.904950.680.261.00-0.149550.744711.315791.850612.530113.034030.620.321.20-0.172170.718471.306931.870132.600933.152940.570.381.40-0.191990.691791.294531.883232.662303.260950.520.441.60-0.209170.665251.279411.890712.714653.357970.480.491.80-0.223950.639281.262311.893432.758683.444330.450.552.00-0.236590.614171.243881.892202.795213.520660.410.601.39-0.191200.692931.295121.882792.659873.256560.520.44Para el Clculo de caudales Pedidos

Coeficiente de Variacinla muestraPROBABILIDAD ACUMULADAPARMETROS DE CLCULO0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS251020501001.391457588-0.19119688430.69292760521.29511709951.88279145862.65986515623.25656299980.5224824170.436161247

Variable Aleatoria-0.00000.84151.28171.64522.05422.3268Caudales hallados usandoLog normal III Parmetros13463.9218065.2521199.2824257.7728301.9731407.42Caudales hallados usandofactor de frecuencia13463.9218065.2521199.2824257.7728301.9731407.4213249.320879728917844.881584771820987.826762933424063.085697033328139.830043259131277.2271709481

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estand0.94962517231.02057122551.06282233461.09144561871.11237374061.12847247251.14131460371.15184296251.16066070391.16817347621.17343777131.17466515931.18034095591.18535324361.18981777511.19382421011.19744317731.20073114121.20373383361.2064887245

NPROMEDIODESVESTDATOS ANTERIORES100.4952070.949625150.5128361.020571media14458.9830508475200.5235521.062822desv5204.3952561721250.5308641.091446300.5362211.112374 =0.000246426350.5403401.128472 =12117.0052400.5436201.141315450.5463021.151843T25102050100500.5485421.160661Yt0.36651292061.49993998682.25036732732.9701952493.90193865794.6001492268550.5504451.168173590.55177412851.1734377713Estos parmetros son hallados para los 59 aos del problema:600.5520841.174665650.5535121.180341Tamao dela muestraPROBABILIDAD ACUMULADA700.5547701.185353508090959899750.5558871.189818TIEMPO DE RETORNO EN AOS800.5568861.19382425102050100850.5577861.19744310-0.135521.058031.848272.606283.587454.32270900.5586011.20073115-0.143370.967211.702512.407833.320794.00493950.5593441.20373420-0.147760.918681.624752.302033.178693.835631000.5600231.20648925-0.150580.887881.575442.234953.088633.7283430-0.152560.866361.540982.188093.025713.6533835-0.154040.850351.515352.153232.978893.5976140-0.155180.837911.495422.126122.942503.5542645-0.156090.827921.479432.104362.913283.5194450-0.156830.819701.466262.086442.889213.4907855-0.157450.812801.455202.071402.869003.4667059-0.157880.808021.447542.060972.855003.4500160-0.157980.806921.445762.058552.851753.4461465-0.158430.801831.437602.047442.836833.4283670-0.158820.797371.430462.037732.823773.4128075-0.159160.793441.424152.029142.812243.3990680-0.159460.789941.418532.021492.801963.3868285-0.159730.786801.413502.014632.792743.3758390-0.159980.783971.408952.008442.784423.3659195-0.160190.781401.404822.002812.776863.35689100-0.160390.779051.401041.997672.769953.34866

Tamao dela muestraPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS2510205010059-0.15787902220.808023981.44753581342.06097091782.85499973783.4500126016

Caudales hallados usandodistribucin Gumbel13604.3218203.7721249.0124170.0827951.1030784.45Caudales hallados usandofactor de frecuencia13637.3218664.2621992.5325185.0929317.5332414.21

PEARSON III PARMETROSDISTRIBUCION PEARSON DE III PARAMETROSN59COEFICIENTE DE SESGO1.391457588CORRECCION DE SESGO =1.6337548192 =1.4986017244=4251.3529154986=8087.8982407101

COEFICIENTEDE SESGOPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS25102050100VARIABLE ALEATORIA ESTNDAR-0.0000000.8414571.2817291.6452112.0541892.32678500.10-0.01670.83621.29191.67312.10752.40020.20-0.03330.83011.30111.70002.16002.47330.27-0.04490.82531.30681.71822.19632.52410.30-0.04990.82321.30911.72582.21172.54580.40-0.06640.81551.31611.75052.26252.61780.50-0.08280.80701.32211.77402.31232.68900.60-0.09900.79781.32691.79632.36102.75950.70-0.11510.78781.33061.81732.40852.82900.80-0.13090.77711.33321.83722.45482.89750.90-0.14660.76571.33481.85572.49992.96501.00-0.16200.75361.33521.87292.54373.03121.10-0.17710.74091.33461.88882.58603.09621.20-0.19190.72751.33281.90342.62703.15991.30-0.20630.71351.33011.91662.66653.22221.40-0.22040.69901.32621.92852.70453.28301.50-0.23400.68391.32141.93912.74103.34231.60-0.24730.66831.31551.94832.77593.40001.63-0.25160.66291.31331.95112.78733.41911.70-0.26000.65231.30871.95622.80923.45611.80-0.27220.63581.30091.96272.84093.51051.90-0.28390.61901.29221.96802.87103.56322.00-0.29490.60181.28261.97192.89953.6142

coeficiente de sesgoPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS251020501001.63375482-0.251604970.662927561.313310421.951119222.787293453.41914179Clculo del Caudal usando DistribucinPearson Tipo III13144.3417903.9321288.7824608.1928959.9732248.35Clculo del Caudal usandoFactor de Frecuencia13149.5317909.1221293.9724613.3828965.1632253.55

Log Pearson-Tipo III

COEFICIENTE DE SESGO0.2268374512desvest =0.3363433875SESGO CORREGIDO0.2663371001N =59 =56.3892940504M3 =186285742220.821 =0.0451748349SC0.3392305082 =6.9746765263

COEFICIENTEDE SESGOPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS25102050100VARIABLE ALEAOTORIA ESTNDAR-0.0000000.8414571.2817291.6452112.0541892.326785--0.00000.84151.28171.64522.05422.32680.10-0.01670.83621.29191.67312.10752.40020.20-0.03330.83011.30111.70002.16002.47330.27-0.04430.82561.30651.71732.19442.52140.30-0.04990.82321.30911.72582.21172.54580.40-0.06640.81551.31611.75052.26252.61780.50-0.08280.80701.32211.77402.31232.68900.60-0.09900.79781.32691.79632.36102.75950.70-0.11510.78781.33061.81732.40852.82900.80-0.13090.77711.33321.83722.45482.89750.90-0.14660.76571.33481.85572.49992.96501.00-0.16200.75361.33521.87292.54373.03121.10-0.17710.74091.33461.88882.58603.09621.20-0.19190.72751.33281.90342.62703.15991.30-0.20630.71351.33011.91662.66653.22221.40-0.22040.69901.32621.92852.70453.28301.50-0.23400.68391.32141.93912.74103.34231.60-0.24730.66831.31551.94832.77593.40001.63-0.25110.66351.31361.95082.78603.41701.70-0.26000.65231.30871.95622.80923.45611.80-0.27220.63581.30091.96272.84093.51051.90-0.28390.61901.29221.96802.87103.56322.00-0.29490.60181.28261.97192.89953.6142coeficiente de sesgoPROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS251020501000.2663371-0.04430210.82560131.30654431.71727042.19443352.5214449Clculo del caudal usando DistribucinLog Pearson Tipo III13453.9118072.0721274.6924455.3428752.2832125.47Clculo del caudal usandoFactor de Frecuencia13455.6318029.0421194.5924334.4028570.6931892.46

Cuadro de Resultados de caudale

CUADRO DE RESULTADOS DE CAUDALES

PROBABILIDAD ACUMULADA0.50.80.90.950.980.99TIEMPO DE RETORNO EN AOS25102050100VARIABLE ALEATORIA ESTNDAR-0.0000000.8414571.2817291.6452112.0541892.326785Normal14458.9818838.2621129.6123021.3125149.7926568.49Log Normal de 2 Parmetros13657.6318125.4421018.4223751.7027254.2929871.27Usando Factor de Frecuencia13604.5318248.8521280.1124158.6327865.5130647.04Log Normal de 3 Parmetros13463.9218065.2521199.2824257.7728301.9731407.42Usando Factor de Frecuencia13463.9218065.2521199.2824257.7728301.9731407.42Distribucin de Valores Extremos Tipo Gumbel13604.3218203.7721249.0124170.0827951.1030784.45Usando Factor de Frecuencia13637.3218664.2621992.5325185.0929317.5332414.21Distribucin Pearson de III Parmetros13144.3417903.9321288.7824608.1928959.9732248.35Usando Factor de Frecuencia13149.5317909.1221293.9724613.3828965.1632253.55Distribucin log Pearson de III Parmetros13453.9118072.0721274.6924455.3428752.2832125.47Usando Factor de Frecuencia13455.6318029.0421194.5924334.4028570.6931892.46

Ajuste Chi-Cuadradoc02.515517Xo=2526.7096271894c10.802853c20.010328d11.432788d20.189269d30.001308

nProbabilidadPNormalLog Normal II ParametrosLog Normal III ParametrosgumbelPearson III ParmetrosLog Pearson Tipo IIIGUMBELPEARSON 3Pearson III ParmetrosLog Pearson Tipo III0uCOEF. DE SESGOX^2 X^2 10.14285714298902.809537.399540.299059.159529.299562.270.55177412851.17343777131.39145758831.4089542948136.785857144620.285714285711515.5111291.7411175.9111012.3011028.8411200.408/1^24.13190226142.2372391413145.075970344830.428571428613523.9612856.7812688.2012746.6912514.9512701.943.0581041991151.671661800240.571428571415394.0014508.3714333.0814586.4114190.3414328.72Log Pearson - Tipo III3.9835130509157.989816283450.714285714317402.4516519.2316397.3916842.7316333.3416368.76n =COEF. DE SESGO =0.22683745125.1672158226164.968420692560.857142857120015.1619557.8419632.1420304.7619705.5619576.318/1^2155.47496563757.029883857174.350147874871

AoDescargasDescargas*1000LN(X-X0)LN X1195010.4104008.97123134469.24956108512195110.7107009.00862684529.27799902043195220.1201009.77413543599.908475094Normal419538.2182108.6452856359.0131082024ppwtIntervalo de Claseff^25195414.3143009.37358871719.56801481620.14285714290.14285714291.97276970221.067593435708902.80749619558.0480408.61491688788.99218436220.28571428570.28571428571.58288532020.56557350518902.8011515.51864719568.2182108.6452856359.01310820240.42857142860.42857142861.30176638490.17965970711515.5113523.96152258195713.9139009.33902293569.53964411910.57142857140.42857142861.30176638490.17965970713523.9615394.00864919588.3983908.67646622219.03479579950.71428571430.28571428571.58288532020.565573505115394.0017402.4574910195918.5185009.67867325469.82552601110.85714285710.14285714291.97276970221.067593435717402.4520015.1686411196013130009.25658352129.47270463641020015.16a ms63612196116.4164009.53772071469.7050366138suma =55113196214.5145009.39043364579.581903928414196313130009.25658352129.472704636415196417.2172009.59378413869.7526646628Log Normal II Parametros16196513.9139009.33902293569.5396441191ppwtIntervalo de Claseff^217196611.9119009.1456194749.38429367910.14285714290.14285714291.97276970221.067593435709537.3986418196713.6136009.31229121499.51782507170.28571428570.28571428571.58288532020.56557350519537.3911291.7474919196812.4124009.1975884489.42545175160.42857142860.42857142861.30176638490.17965970711291.7412856.781010020196918.3183009.66607330589.81465633880.57142857140.42857142861.30176638490.17965970712856.7814508.371214421197012.9129009.24698954829.46498259030.71428571430.28571428571.58288532020.565573505114508.3716519.2363622197118.2182009.65971329249.80917687310.85714285710.14285714291.97276970221.067593435716519.2319557.849812319729.999008.90561934059.20029003611019557.84a ms74924197310.2102008.94550079499.2301429993suma =5232519749.0290208.77852467249.107199613126197511.8118009.13489354419.375854810527197616.1161009.51585919759.686574551Log Normal III Parametros28197716.9169009.5731269289.7350689009ppwtIntervalo de Clasede Claseff^229197811.8118009.13489354419.37585481050.14285714290.14285714291.97276970221.067593435709540.2986430197913.9139009.33902293569.53964411910.28571428570.28571428571.58288532020.56557350519540.2911175.9174931198012.3123009.18740847169.41735454140.42857142860.42857142861.30176638490.17965970711175.9112688.2098132198115.1151009.43933003139.62245002280.57142857140.42857142861.30176638490.17965970712688.2014333.081214433198211.9119009.1456194749.38429367910.71428571430.28571428571.58288532020.565573505114333.0816397.3963634198311110009.0446741869.30565055180.85714285710.14285714291.97276970221.067593435716397.3919632.141010035198416160009.50846451379.68034400121019632.14a ms74936198511.6116009.11309025279.3587603771suma =52337198619.9199009.76268926989.898475010738198718.6186009.68491419039.830916859739198818180009.64687061479.7981270369Gumbel40198913.1131009.2660863249.4803675092ppwtIntervalo de Clasede Claseff^241199029.12910010.18766186910.27849345320.14285714290.14285714291.97276970221.067593435709059.1586442199110.3103008.95844882519.23989917420.28571428570.28571428571.58288532020.56557350519059.1511012.3074943199212.2122009.17712379669.40919123070.42857142860.42857142861.30176638490.17965970711012.3012746.691010044199315.6156009.4783265259.65502619320.57142857140.42857142861.30176638490.17965970712746.6914586.411214445199412.7127009.22752097399.44935727240.71428571430.28571428571.58288532020.565573505114586.4116842.7363646199513.1131009.2660863249.48036750920.85714285710.14285714291.97276970221.067593435716842.7320304.761112147199619.2192009.72156333929.8626655581020304.76a ms52548199719.5195009.73939623299.8781697446suma =53949199823230009.92687640710.04324949495019996.767008.33646006198.80986280545120007.1371308.43452662528.8720665134Pearson III Parmetros52200114.3143009.37358871719.5680148162ppwtIntervalo de Clasede Claseff^253200220.6206009.80219045749.93304635480.14285714290.14285714291.97276970221.067593435709529.2986454200325.62560010.046430966610.15034763050.28571428570.28571428571.58288532020.56557350519529.2911028.847495520048.1881808.63999302159.00944742960.42857142860.42857142861.30176638490.17965970711028.8412514.9598156200534.13410010.360066800810.43705266330.57142857140.42857142861.30176638490.17965970712514.9514190.341010057200616.1161009.51585919759.6865745510.71428571430.28571428571.58288532020.565573505114190.3416333.3486458200710.2102008.94550079499.23014299930.85714285710.14285714291.97276970221.067593435716333.3419705.561010059200812.3123009.18740847169.41735454141019705.56a ms749media14458.98305084759.30137719269.5220535759suma =507des5204.39525617210.41755025540.3363433875var27085729.9824664cv =des/med =coef_var =0.3599419985Log Pearson-Tipo IIIppwtIntervalo de Clasede Claseff^20.14285714290.14285714291.97276970221.067593435709562.278640.28571428570.28571428571.58288532020.56557350519562.2711200.407490.42857142860.42857142861.30176638490.17965970711200.4012701.94101000.57142857140.42857142861.30176638490.17965970712701.9414328.72111210.71428571430.28571428571.58288532020.565573505114328.7216368.766360.85714285710.14285714291.97276970221.067593435716368.7619576.31101001019576.31a ms749suma =519

RESUMEN DE RESULTADOS DE LA PRUEBA X^2NormalLog Normal II ParametrosLog Normal III ParametrosGUMBELPearson III ParmetrosLog Pearson Tipo IIIXc^26.3728813.0508473.0508474.9491531.1525422.576271Xt^29.4877299.4877297.8147289.4877297.8147287.814728Diferencia3.1148486.4368824.7638804.5385766.6621865.238457GL443433Criterio de DecisinAl observar las diferencias, se escoge Pearson III Parmetros por tener la mayor diferenciaDiferenciaMxima6.66219

Ajuste Smirnov-KolmogorovN =59k =7NormalLog Normal II ParametrosnIntervalo de claseFrecuenciaFrecuencia acumuladaP(X)Po(X)DnnIntervalo de claseFrecuenciaFrecuencia acumuladaP(X)Po(X)Dn108902.80770.118640.142860.02421109537.39880.135590.142860.0072628902.8011515.518150.254240.285710.0314829537.3911291.747150.254240.285710.03148311515.5113523.9615300.508470.428570.07990311291.7412856.7810250.423730.428570.00484413523.9615394.008380.644070.571430.07264412856.7814508.3712370.627120.571430.05569515394.0017402.457450.762710.714290.04843514508.3716519.236430.728810.714290.01453617402.4520015.168530.898310.857140.04116616519.2319557.849520.881360.857140.02421720015.16a ms6591.000001.000000.00000719557.84a ms7591.000001.000000.00000Dn (mximo) =0.07990Dn (mximo) =0.05569

Log Normal III ParametrosGumbelnIntervalo de claseFrecuenciaFrecuencia acumuladaP(X)Po(X)DnnIntervalo de claseFrecuenciaFrecuencia acumuladaP(X)Po(X)Dn109540.29880.135590.142860.00726109059.15880.135590.142860.0072629540.2911175.917150.254240.285710.0314829059.1511012.307150.254240.285710.03148311175.9112688.209240.406780.428570.02179311012.3012746.6910250.423730.428570.00484412688.2014333.0812360.610170.571430.03874412746.6914586.4112370.627120.571430.05569514333.0816397.396420.711860.714290.00242514586.4116842.736430.728810.714290.01453616397.3919632.1410520.881360.857140.02421616842.7320304.7611540.915250.857140.05811719632.14a ms7591.000001.000000.00000720304.76a ms5591.000001.000000.00000Dn (mximo) =0.03874Dn (mximo) =0.05811

Pearson III ParmetrosLog Pearson-Tipo IIInIntervalo de claseLimite de ClaseFrecuenciaFrecuencia acumuladaP(X)Po(X)DnnIntervalo de claseFrecuenciaFrecuencia acumuladaP(X)Po(X)Dn109529.29880.135590.142860.00726109562.27880.135590.142860.0072629529.2911028.847150.254240.285710.0314829562.2711200.407150.254240.285710.03148311028.8412514.959240.406780.428570.02179311200.4012701.9410250.423730.428570.00484412514.9514190.3410340.576270.571430.00484412701.9414328.7211360.610170.571430.03874514190.3416333.348420.711860.714290.00242514328.7216368.766420.711860.714290.00242616333.3419705.5610520.881360.857140.02421616368.7619576.3110520.881360.857140.02421719705.56a ms7591.000001.000000.00000719576.31a ms7591.000001.000000.00000Dn (mximo) =0.03148Dn (mximo) =0.03874

Resumen de Resultados de la Prueba de Smirnov KolmogorovNormalLog Normal II ParametrosLog Normal III ParametrosGumbelPearson III ParmetrosLog Pearson Tipo III =0.079900.055690.038740.058110.031480.03874o =0.177060.177060.177060.177060.177060.17706Diferencia0.097150.121370.138320.118950.145580.13832Criterio de DecisinAl observar las diferencias, se escoge Pearson III Parmetros por tener la mayor diferenciaDiferenciaMxima0.14558