Goodness-of-Fit of Reference Evapotranspiration to Gamma Probability Distribution

Assessment of Goodness of Fit Methods in Determining the Best Regional Probability Distribution of Rainfall Data

One of the most important problems in time series analysis of stream flow and rainfall data in an area is selecting the best probability distribution. Since the rainfall stations are associated and correlated with each other, so statistical analysis of the station data seamlessly are very important. Therefore, the first step in data analysis, is selecting the prevailing probability distribution...

Modeling the Goodness-of-Fit Test Based on the Interval Estimation of the Probability Distribution Function

The paper presents a new goodness-of-fit test on the basis of the interval estimate of the probability distribution function. The comparative analysis is carried out for the proposed test and for the Kolmogorov test. The results of the numerical modeling show that the proposed test has greater performance than the Kolmogorov test in specific cases. The analysis of correlation properties of the ...

A New Goodness-of-Fit Test for a Distribution by the Empirical Characteristic Function

Extended Abstract. Suppose n i.i.d. observations, X1, …, Xn, are available from the unknown distribution F(.), goodness-of-fit tests refer to tests such as H0 : F(x) = F0(x) against H1 : F(x) $neq$ F0(x). Some nonparametric tests such as the Kolmogorov--Smirnov test, the Cramer-Von Mises test, the Anderson-Darling test and the Watson test have been suggested by comparing empirical ...

On distribution-free goodness-of-fit testing of exponentiality

Local, or better, contiguous alternatives are the closest alternatives against which it is still possible to have some power. With this in mind we would like to think of goodness-of-fit tests as those which have some power against all, or a huge majority, of local alternatives. Tests of that kind are often based on nonlinear functionals, with a complicated asymptotic null distribution. Therefor...

Goodness of Fit