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Tests based on phi-divergences for bivariate symmetry

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Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro (2001) Tests based on phi-divergences for bivariate symmetry. Metrika, 53 . pp. 15-29. ISSN 0026-1335

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Abstract

In this paper we introduce a family of test statistics for testing symmetry based on phi -divergcnce families. These test statistics yield the likelihood ratio test and the Pearson test statistic as special cases. Asymptotic distribution for the new test statistics are derived under both the null and the alternative hypotheses. A simulation study is presented to see that some new test statistics offer an attractive alternative to the classical Pearson lest statistic for the problem of symmetry.


Item Type:Article
Uncontrolled Keywords:contingency table; symmetry; phi-divergence measure; hypothesis testing
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17728
Deposited On:17 Jan 2013 09:32
Last Modified:26 Jul 2018 07:25

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