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On tests of independence based on minimum phi-divergence estimator with constraints: An application to modeling DNA

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Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro and Zografos, Konstantinos (2006) On tests of independence based on minimum phi-divergence estimator with constraints: An application to modeling DNA. Computational Statistics and Data Analysis, 51 (2). pp. 1100-1118. ISSN 0167-9473

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Official URL: http://www.sciencedirect.com/science/article/pii/S0167947305002987


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Abstract

A new family of estimators, Minimum phi-divergence estimators, is introduced for the problem of independence in a two-way contingency table and their asymptotic properties are studied. Based on this new family of estimators, a new family of test statistics for the problem of independence is defined. This new family of test statistics yield the likelihood ratio test and the Pearson test statistic as special cases. A simulation study is presented to show that some new test statistics offer an attractive alternative to the classical Pearson and likelihood ratio test statistics for this problem. The procedures proposed in this paper can be used for testing positional independence of a DNA sequence as it is illustrated by a numerical example.


Item Type:Article
Uncontrolled Keywords:Independence; Phi-divergence test statistics; Two-way contingency table
Subjects:Sciences > Mathematics > Probabilities
Sciences > Mathematics > Mathematical statistics
ID Code:17473
Deposited On:18 Dec 2012 09:18
Last Modified:26 Jul 2018 07:26

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