Distribucion Gamma

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    09-Dec-2015
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dustribucion gamma-hidrologia

Transcript of Distribucion Gamma

DISTRIBUCION GAMMADISTRIBUCION GAMMA DE 2 PARAMETROS

PRUEBA DE SMIRNOV-KOLMOGOROVDISTRIBUCION GAMMAQ Max. Anuales ALn(A)mQ=X m3/sP(X) m3/sF(Z) IF(Z)-P(X)Iaa20.355-1.0356374895100.0455-0.520.301530.2561-4.810923.140.121-2.111964733420.0720.0909-0.520.301530.2106-4.738922.460.203-1.594549299930.1210.1364-0.510.305030.1687-4.689921.990.28-1.272965675840.2030.1818-0.500.309540.1277-4.607921.2342.1333.740831281650.2610.2273-0.490.312070.0848-4.549920.704.6921.545858930860.2680.2727-0.490.312070.0393-4.542920.642.250.810930216270.280.3182-0.490.31207-0.0061-4.530920.533.4481.237794352880.3550.3636-0.480.31918-0.0445-4.455919.859.62.2617630985HALLAMOS CALCULO DE DISEOS PARA LOS SIGUIENTES AOS DE RETORNO90.9150.4091-0.420.33724-0.0719-3.895915.180.915-0.0888312137101.0830.4545-0.410.3409-0.1136-3.727913.9000TF(X)1-F(X)112.0350.5000-0.300.38209-0.1179-2.77597.711.0830.07973496820.50.5122.250.5455-0.280.38974-0.1557-2.56096.562.0350.710495818950.80.2132.3480.5909-0.270.39358-0.1973-2.46296.070.072-2.63108916100.90.1143.4480.6364-0.150.44038-0.1960-1.36291.866.8481.9239566388250.960.04154.6920.6818-0.010.49202-0.1898-0.11890.017.7682.050012731500.980.02165.2350.72730.050.51994-0.20730.42410.185.2351.65536684431000.990.01176.8480.77270.220.58706-0.18572.03714.150.268-1.31676829852000.9950.005187.7680.81820.320.62552-0.19272.95718.7411.1132.408115594210000.9990.001199.60.86360.520.69497-0.16874.789122.940.261-1.34323487172011.1130.90910.690.7549-0.15426.302139.722.3480.8535639022142.1330.95454.060.999970.045437.32211392.94=1.0506V=1n=21EN TABLA TENEMOS los siguientes caudalesm= numero de orden n+1=22n-120V=11-F(x)=0.5X2=0.3V=11-F(x)=0.2X2=1.6V=11-F(x)=0.1X2=2.6n= numero de datos=4.81=1.57

=4.8109 =Max I F(Z)-P(X)I =0.2561=0.38q=1.374m3/sq=7.327m3/sq=11.906m3/shallamos 0 critico : tabla

=9.19V=11-F(x)=0.04X2=4.2V=11-F(x)=0.02X2=5.4V=11-F(x)=0.01X2=5.8calculamos parametros de distribucion Gamma

F(z)TABLA DE DISTRIBUCION NORMAL=1.20

q=19.232m3/sq=24.727m3/sq=26.559m3/sENTONCES

V=11-F(x)=0.005X2=7.9V=11-F(x)=0.001X2=10.5tomando =0.05n=21q=36.175m3/sq=48.081m3/s0=0.28724=0.5253