Resultados

Ajuste de una serie de datos a la distribución lognormal de 2 parámetros

Serie de datos X:

---------------------------------------- N° X---------------------------------------- 1 31.56 2 22.5 3 24.1 4 21.2 5 96.4 6 15.6 7 19.1 8 15.5 9 25.5 10 67.3 11 47.3 12 19.9 13 42.6 14 21.3 15 35.6 16 18.3 17 35.0 18 57.26 19 15.1 20 33.7 21 74.2 22 28.6 23 14.1 24 14.2 25 38.6 26 29.4 27 21.4 28 12.4 29 20.8 30 42.1 31 30.4 32 24.1 33 13.5 34 32.3 35 27.7 36 72.1 37 45.6 38 19.4 39 42.0 40 51.5 41 24.0 42 20.6 43 15.7 44 41.3 45 12.3 46 44.5

47 20.84----------------------------------------

Cálculos del ajuste Smirnov Kolmogorov:

---------------------------------------------------------------------------------------------------------------------------------- m X P(X) F(Z) Ordinario F(Z) Mom Lineal Delta ---------------------------------------------------------------------------------------------------------------------------------- 1 12.3 0.0208 0.0557 0.0587 0.0379 2 12.4 0.0417 0.0575 0.0606 0.0189 3 13.5 0.0625 0.0792 0.0827 0.0202 4 14.1 0.0833 0.0925 0.0961 0.0128 5 14.2 0.1042 0.0948 0.0985 0.0057 6 15.1 0.1250 0.1166 0.1205 0.0045 7 15.5 0.1458 0.1269 0.1309 0.0150 8 15.6 0.1667 0.1295 0.1335 0.0332 9 15.7 0.1875 0.1322 0.1361 0.0514 10 18.3 0.2083 0.2068 0.2107 0.0024 11 19.1 0.2292 0.2315 0.2352 0.0060 12 19.4 0.2500 0.2408 0.2444 0.0056 13 19.9 0.2708 0.2565 0.2600 0.0108 14 20.6 0.2917 0.2787 0.2820 0.0097 15 20.8 0.3125 0.2851 0.2882 0.0243 16 20.84 0.3333 0.2863 0.2895 0.0438 17 21.2 0.3542 0.2978 0.3008 0.0533 18 21.3 0.3750 0.3010 0.3040 0.0710 19 21.4 0.3958 0.3042 0.3071 0.0887 20 22.5 0.4167 0.3392 0.3417 0.0750 21 24.0 0.4375 0.3863 0.3881 0.0494 22 24.1 0.4583 0.3894 0.3912 0.0671 23 24.1 0.4792 0.3894 0.3912 0.0880 24 25.5 0.5000 0.4322 0.4333 0.0667 25 27.7 0.5208 0.4962 0.4963 0.0246 26 28.6 0.5417 0.5211 0.5207 0.0209 27 29.4 0.5625 0.5425 0.5418 0.0207 28 30.4 0.5833 0.5682 0.5671 0.0162 29 31.56 0.6042 0.5967 0.5951 0.0090 30 32.3 0.6250 0.6141 0.6123 0.0127 31 33.7 0.6458 0.6453 0.6430 0.0028 32 35.0 0.6667 0.6724 0.6697 0.0030 33 35.6 0.6875 0.6842 0.6814 0.0061 34 38.6 0.7083 0.7380 0.7346 0.0263 35 41.3 0.7292 0.7791 0.7753 0.0461 36 42.0 0.7500 0.7887 0.7848 0.0348 37 42.1 0.7708 0.7900 0.7862 0.0153 38 42.6 0.7917 0.7966 0.7927 0.0010 39 44.5 0.8125 0.8198 0.8158 0.0033 40 45.6 0.8333 0.8320 0.8280 0.0053 41 47.3 0.8542 0.8493 0.8453 0.0089 42 51.5 0.8750 0.8848 0.8809 0.0059 43 57.26 0.8958 0.9201 0.9166 0.0208 44 67.3 0.9167 0.9574 0.9547 0.0381

45 72.1 0.9375 0.9682 0.9660 0.0285 46 74.2 0.9583 0.9720 0.9699 0.0116 47 96.4 0.9792 0.9923 0.9914 0.0122 ----------------------------------------------------------------------------------------------------------------------------------

-------------------------------------------------------Ajuste con momentos lineales:-------------------------------------------------------Como el delta teórico 0.0887, es menor que el delta tabular 0.1984. Los datos se ajustan a la distribución logNormal 2 parámetros, con un nivel de significación del 5%

------------------------------------------------------------Parámetros de la distribución logNormal:------------------------------------------------------------Con momentos ordinarios:Parámetro de escala (µy)= 3.3263Parámetro de forma (Sy)= 0.513

Con momentos lineales:Parámetro de escala (µyl)= 3.3263Parámetro de forma (Syl)= 0.5216

------------------------------Caudal de diseño:------------------------------El caudal de diseño para un periodo de retorno de 2 años, es 27.84