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Journals / Gazi University Journal of Science / 2013 / Cilt: 26 - Sayı: 3

Comparisons of the Goodness of Fit Tests for the Geometric Distribution

Deniz ÖZONUR
Esra GÖKPINAR
Fikri GÖKPINAR
Hülya BAYRAK
Hasan GÜL
Pages
369–375
Publication Date
2013-02-22
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article gives some goodness of fit tests for the Geometric distribution.
📊
Key Findings & Data:The performance of these tests is compared by simulation study according to type-I errors and powers of tests.
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Conclusion & Impact:Keywords: Anderson Darling test, Cramer-von Mises test, Kolmogorov Smirnov test, Chi-square test.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Anderson Darling test · Cramer-von Mises test · Kolmogorov Smirnov test

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.

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Cite This Article

ÖZONUR, D., GÖKPINAR, E., GÖKPINAR, F., BAYRAK, H., GÜL, H. (2013). Comparisons of the Goodness of Fit Tests for the Geometric Distribution. Gazi University Journal of Science, Cilt: 26 - Sayı: 3, 369–375. https://ajindex.com/articles/255275

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