Confiabilidad de Informacon

PRECIPITACIONES

CONFIABILIDAD DE INFORMACONPRECIPITACIONESINFORMACION PLUVIOMETRICA:ESTACION: LAMBAYEQUELATITUD: 064353.5LONGITUD: 795426CATEGORIA: CPmAOSQ

120143.7

220138.5

3201222.1

420117.1

5201019.7

620095.7

7200811.7

820072.4

920069.1

1020053.9

1120043.6

12200314.7

13200215.2

14200140.8

1520006

16199932

171998116

ORDENAMIENTO DE LA PRECIPITACIONES mQ

12.40

23.60

33.70

43.90

55.70

66.00

77.10

88.50

99.10

1011.70

1114.70

1215.20

1319.70

1422.10

1532.00

1640.80

17116.00

DISTRIBUCIONES TEORICASI. DISTRIBUCION NORMAL:A. AJUSTE MEDIANTE EL ESTADISTICO SMIRNOV - KOLMOGOROV

OBTENCIN DEL ESTADSTICO S-K Y VERIFICACIN DE LA CONFIABILIDAD

Para la distribucin normal con N = 17 datos de Precipitacin mxima 24h de la estacin Udima, procedemos a Calcular el estadstico S-k, con un nivel de significancia de 0.05.

N

150.34

17S-K

200.29

PRECIPITACIONESHIDROLOGIA

[Escriba texto]Pgina 10

TABULACION

mQ = x - X( - X)2P(X) = m/N+1Z=( - X)/F(Z)F(Z) - P(X) |F(Z) - P(X) |

12.40-16.55273.99990.0556-0.819910.206140.150580.15058

23.60-15.35235.71280.1111-0.760470.223490.112380.11238

33.70-15.25232.65220.1667-0.755510.224970.058300.05830

43.90-15.05226.59100.2222-0.745610.227950.005730.00573

55.70-13.25175.64040.2778-0.656450.25577-0.022010.02201

66.00-12.95167.77870.3333-0.641590.26057-0.072760.07276

77.10-11.85140.49220.3889-0.587100.27857-0.110320.11032

88.50-10.45109.26400.4444-0.517760.30231-0.142130.14213

99.10-9.8597.08040.5000-0.488040.31276-0.187240.18724

1011.70-7.2552.60520.5556-0.359250.35970-0.195850.19585

1114.70-4.2518.08750.6111-0.210660.41658-0.194530.19453

1215.20-3.7514.08460.6667-0.185890.42626-0.240400.24040

1319.700.750.55810.72220.037000.51476-0.207460.20746

1422.103.159.90400.77780.155880.56194-0.215840.21584

1532.0013.05170.22570.83330.646250.74094-0.092390.09239

1640.8021.85477.29400.88891.082130.86040-0.028490.02849

17116.0097.059418.13160.94444.806961.000000.055550.05555

SUMATORIA322.20011820.1024

PROMEDIO x 18.953max=0.24040S-K =0.32

VARIANZA 20.18885N=17=0.05

II. ANALISIS DE CONFIABILIDAD: "DISTRIBUCION GUMBELL mAOSQ

120143.7

220138.5

3201222.1

420117.1

5201019.7

620095.7

7200811.7

820072.4

920069.1

1020053.9

1120043.6

12200314.7

13200215.2

14200140.8

1520006

16199932

171998116


12.40

23.60

33.70

43.90

55.70

66.00

77.10

88.50

99.10

1011.70

1114.70

1215.20

1319.70

1422.10

1532.00

1640.80

17116.00

TABULACIONmQ = x - X( - X)2u=X-0.45S*S

P(X)=m/N+1Y=(X - u)/F(Y)

F(Y) - P(X) |F(Z) - P(X) |

12.40-16.55273.99996.721921.19220.0556-0.203940.293400.237840.23784

23.60-15.35235.71286.721921.19220.1111-0.147310.313890.202780.20278

33.70-15.25232.65226.721921.19220.1667-0.142600.315610.148940.14894

43.90-15.05226.59106.721921.19220.2222-0.133160.319040.096820.09682

55.70-13.25175.64046.721921.19220.2778-0.048220.350150.072370.07237

66.00-12.95167.77876.721921.19220.3333-0.034060.355350.022020.02202

77.10-11.85140.49226.721921.19220.38890.017840.37444-0.014450.01445

88.50-10.45109.26406.721921.19220.44440.083900.39871-0.045730.04573

99.10-9.8597.08046.721921.19220.50000.112220.40908-0.090920.09092

1011.70-7.2552.60526.721921.19220.55560.234900.45355-0.102000.10200

1114.70-4.2518.08756.721921.19220.61110.376460.50344-0.107670.10767

1215.20-3.7514.08466.721921.19220.66670.400060.51156-0.155100.15510

1319.700.750.55816.721921.19220.72220.612400.58156-0.140670.14067

1422.103.159.90406.721921.19220.77780.725650.61631-0.161470.16147

1532.0013.05170.22576.721921.19220.83331.192800.73833-0.095010.09501

1640.8021.85477.29406.721921.19220.88891.608050.81850-0.070390.07039

17116.0097.059418.13166.721921.19220.94445.156520.994250.049810.04981

SUMATORIA322.20011820.1024

PROMEDIO x 18.953max=0.23784S-K =0.32

VARIANZA =S27.180N=17=0.05

DISTRIBUCIONES TEORICAS



ESTADISTICO

ANALISIS DE CONFIABILIDADS-K CRITICO

150.34

170.32

200.29

S-K= 0.320.32984845

VERIFICACIN DE LA CONFIABILIDAD CALCULADA

ANALISIS DE CONFIABILIDAD CALCULADO

|F(Z) - P(X)|max.

0.23784

COMPARACION DE LA CONFIABILIDAD CALCULADA Y LA ESTADISTICA

COMPARACOION

|F(Z) - P(X)|max. < S-K

LA INFORMACION ES CONFIABLE

NOTA: Al utilizar LA DISTRIBUCION GUMBELL se logra que la informacion es confiable

I. ANALISIS DE CONFIABILIDAD: "DISTRIBUCION LOG NORMAL DE 2 PARAMETROS mAOSQ

120143.7

220138.5

3201222.1

420117.1

5201019.7

620095.7

7200811.7

820072.4

920069.1

1020053.9

1120043.6

12200314.7

13200215.2

14200140.8

1520006

16199932

171998116


12.40

23.60

33.70

43.90

55.70

66.00

77.10

88.50

99.10

1011.70

1114.70

1215.20

1319.70

1422.10

1532.00

1640.80

17116.00

mQ = x - X( - X)2ln(x)Cv = S/XUy=1/2*ln(x^2/1+Cv^2)^2=ln(1+Cv^2)P(X) = m/N+1Z=(ln(x) - Uy)/y F(Z)F(Y) - P(X) |F(Z) - P(X)|

12.40-16.55273.99990.87551.43412.38331.11730.0556-1.426500.271260.215700.21570

23.60-15.35235.71281.28091.43412.38331.11730.1111-1.042900.286080.174970.17497

33.70-15.25232.65221.30831.43412.38331.11730.1667-1.016980.287340.120670.12067

43.90-15.05226.59101.36101.43412.38331.11730.2222-0.967180.289850.067630.06763

55.70-13.25175.64041.74051.43412.38331.11730.2778-0.608160.312920.035140.03514

66.00-12.95167.77871.79181.43412.38331.11730.3333-0.559640.31684-0.016500.01650

77.10-11.85140.49221.96011.43412.38331.11730.3889-0.400380.33139-0.057500.05750

88.50-10.45109.26402.14011.43412.38331.11730.4444-0.230120.35027-0.094170.09417

99.10-9.8597.08042.20831.43412.38331.11730.5000-0.165590.35849-0.141510.14151

1011.70-7.2552.60522.45961.43412.38331.11730.55560.072160.39479-0.160760.16076

1114.70-4.2518.08752.68781.43412.38331.11730.61110.288110.43783-0.173280.17328

1215.20-3.7514.08462.72131.43412.38331.11730.66670.319750.44509-0.221580.22158

1319.700.750.55812.98061.43412.38331.11730.72220.565090.51096-0.211260.21126

1422.103.159.90403.09561.43412.38331.11730.77780.673840.54609-0.231690.23169

1532.0013.05170.22573.46571.43412.38331.11730.83331.024030.68439-0.148940.14894

1640.8021.85477.29403.70871.43412.38331.11730.88891.253870.78924-0.099650.09965

17116.0097.059418.13164.75361.43412.38331.11730.94442.242410.89924-0.045200.04520

SUMAT.322.20011820.1024

PROM. x 18.953y = 1.05702max=0.23169S-K =0.32

VARIANZA S27.180N=17=0.05

DISTRIBUCIONES TEORICAS



ESTADISTICO

ANALISIS DE CONFIABILIDADS-K CRITICO

150.34

170.32

200.29

S-K= 0.320.32984845

VERIFICACIN DE LA CONFIABILIDAD CALCULADA

ANALISIS DE CONFIABILIDAD CALCULADO

|F(Z) - P(X)|max.

0.23169

COMPARACION DE LA CONFIABILIDAD CALCULADA Y LA ESTADISTICA

COMPARACOION

|F(Z) - P(X)|max. < S-K

LA INFORMACION ES CONFIABLE

NOTA: Al utilizar LA DISTRIBUCION LOG. NORMAL DE 2 PARAMETROS se a logrado que la informacion es confiable

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Confiabilidad de Informacon