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Symmetry 2010, 2(2), 1108-1120; doi:10.3390/sym2021108
Review

Minimum Phi-Divergence Estimators and Phi-Divergence Test Statistics in Contingency Tables with Symmetry Structure: An Overview

1,*  and 2
1 Department of Statistics and O.R., Complutense University of Madrid, 28040 Madrid, Spain 2 Department of Statistics, Carlos III University of Madrid, 28903 Getafe (Madrid), Spain
* Author to whom correspondence should be addressed.
Received: 12 March 2010 / Revised: 7 May 2010 / Accepted: 10 June 2010 / Published: 11 June 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
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Abstract

In the last years minimum phi-divergence estimators (MϕE) and phi-divergence test statistics (ϕTS) have been introduced as a very good alternative to classical likelihood ratio test and maximum likelihood estimator for different statistical problems. The main purpose of this paper is to present an overview of the main results presented until now in contingency tables with symmetry structure on the basis of (MϕE) and (ϕTS).
Keywords: minimum phi-divergence estimator; phi-divergence statistics; symmetry model minimum phi-divergence estimator; phi-divergence statistics; symmetry model
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Pardo, L.; Martín, N. Minimum Phi-Divergence Estimators and Phi-Divergence Test Statistics in Contingency Tables with Symmetry Structure: An Overview. Symmetry 2010, 2, 1108-1120.

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