Comparisons of the Goodness of Fit Tests for the Geometric Distribution

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Gazi University Journal of Science
Volume:26 Issue:3
Comparisons of the Goodness of Fit Tests for the Geometric Distribution

Comparisons of the Goodness of Fit Tests for the Geometric Distribution

Authors : Deniz ÖZONUR, Esra GÖKPINAR, Fikri GÖKPINAR, Hülya BAYRAK, Hasan GÜL

Pages : 369-375

View : 57 | Download : 10

Publication Date : 2013-02-22

Article Type : Other Papers

Abstract :This article gives some goodness of fit tests for the Geometric distribution. The tests used in this study are Anderson Darling test, Cramer-von Mises test, Kolmogorov Smirnov test, test based on partition of Chi-square and some new alternatives based on smooth tests. The performance of these tests is compared by simulation study according to type-I errors and powers of tests. The power comparisons indicate that the modified version of smooth test statistic has the highest power value of test for Negative Binomial, Binomial and Poisson distributions. Also, Kolmogorov Smirnov, Anderson Darling, Cramer-von Mises and test statistics can be preferred for large sample sizes. Keywords : Anderson Darling test, Cramer-von Mises test, Kolmogorov Smirnov test, Chi-square test . Normal 0 21 false false false TR X-NONE X-NONE
Keywords : Anderson Darling test, Cramer von Mises test, Kolmogorov Smirnov test, Chi square test

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