Comparisons of the Goodness of Fit Tests for the Geometric Distribution

Year 2013, Volume: 26 Issue: 3, 369 - 375, 22.02.2013

Deniz Özonur , Esra Gökpınar , Fikri Gökpınar , Hülya Bayrak , Hasan Gül

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.

Keywords

Anderson Darling test, Cramer-von Mises test, Kolmogorov Smirnov test, Chi-square test.

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