Comparisons of the Goodness of Fit Tests for the Geometric Distribution

Özonur D., Gökpınar E., Gökpınar F., Bayrak H., Gül H. H.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.26, sa.3, ss.369-375, 2013 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 3
  • Basım Tarihi: 2013
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.369-375
  • Gazi Üniversitesi Adresli: Evet

Özet

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.