| Título: | Comparisons of the Goodness of Fit Tests for the Geometric Distribution |
| Autores: |
Deniz ÖZONUR; Gazi University, Faculty of Science, Department of Statistics, Ankara Esra GÖKPINAR; Gazi University, Faculty of Science, Department of Statistics, Ankara Fikri GÖKPINAR; Gazi University, Faculty of Science, Department of Statistics, Ankara Hülya BAYRAK; Gazi University, Faculty of Science, Department of Statistics, Ankara Hasan Hüseyin GÜL; Gazi University, Faculty of Science, Department of Statistics, Ankara |
| Fecha: | 2013-10-02 |
| Publicador: | Gazi University Journal of Science |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
statistics and hypothesis tests Anderson Darling test, Cramer-von Mises test, Kolmogorov Smirnov test, Chi-square test. |
| Descripción: | 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. |
| Idioma: | Inglés |