A comparison of homogeneity tests in Poisson distribution based on Mont Carlo simulation

Tahereh BAHRAMI; Somayyeh CHASHIANI

Article Details

A comparison of homogeneity tests in Poisson distribution based on Mont Carlo simulation

Authors:

Tahereh BAHRAMI | Somayyeh CHASHIANI

Publisher:

Sivas Cumhuriyet Üniversitesi

Journal:

Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2015 Vol.36 Issue 3, pp.710-714

Document Type:

Article

Publication Date:

5/2015

Document Language:

Turkish

Document ID (Org No.):

2000921357

Frequency:

Quarterly

eISSN:

2587-246X

pISSN:

2587-2680

Abstract:

 


Abstract. In this article, we introduce tests for examining the hypothesis of whether the observations in a Poisson distribution with the same parameters fit with the observations of Poisson distribution with different parameters. When Poisson parameter is small, and the sample volume is large, homogeneity tests like Conditional Chi-square test, Likelihood ratio, and Nymen-Scott test are not efficient enough. Therefore, in this article, another test which is efficient enough in these conditioned is introduced, named Anscombe test. At last, based on Mont Carlo simulation we compare these tests in terms of performance and accuracy, and we illustrate use of them through a real example.

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Article Details

A comparison of homogeneity tests in Poisson distribution based on Mont Carlo simulation

Authors: Tahereh BAHRAMI | Somayyeh CHASHIANI

Publisher: Sivas Cumhuriyet Üniversitesi

Journal: Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2015 Vol.36 Issue 3, pp.710-714

Document Type: Article

Publication Date: 5/2015

Document Language: Turkish

Document ID (Org No.): 2000921357

Frequency: Quarterly

eISSN: 2587-246X

pISSN: 2587-2680

Issues

Authors:

Tahereh BAHRAMI | Somayyeh CHASHIANI

Publisher:

Sivas Cumhuriyet Üniversitesi

Journal:

Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2015 Vol.36 Issue 3, pp.710-714

Document Type:

Article

Publication Date:

5/2015

Document Language:

Turkish

Document ID (Org No.):

2000921357

Frequency:

Quarterly

eISSN:

2587-246X

pISSN:

2587-2680