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Title: On the computation of the exact distribution of power divergence test statistics (English)
Author: Marhuenda, Marco A.
Author: Marhuenda, Yolanda
Author: Morales, Domingo
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 39
Issue: 1
Year: 2003
Pages: [55]-74
Summary lang: English
Category: math
Summary: In this paper we introduce several algorithms to generate all the vectors in the support of a multinomial distribution. Computational studies are carried out to analyze their efficiency with respect to the CPU time and to calculate their efficiency frontiers. The proposed algorithm is used to calculate exact distributions of power divergence test statistics under the hypothesis of uniformity. Finally, several exact power comparisons are done for different divergence statistics and families of alternatives to the uniformity hypothesis. (English)
Keyword: multinomial distribution
Keyword: algorithms
Keyword: goodness-of-fit divergence tests
Keyword: power divergence statistics
Keyword: chi-squared tests
Keyword: power comparisons
MSC: 60G10
MSC: 62G10
MSC: 62M10
MSC: 62Q05
idZBL: Zbl 1249.60070
idMR: MR1980124
Date available: 2009-09-24T19:51:09Z
Last updated: 2015-03-23
Stable URL:
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