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An estimation method for the chi-square divergence with application to test of hypotheses

Abstract : We propose a new definition of the chi-square divergence between distributions. Based on convexity properties and duality, this version of the χ² is well suited both for the classical applications of the χ² for the analysis of contingency tables and for the statistical tests for parametric models, for which it has been advocated to be robust against inliers. We present two applications in testing. In the first one we deal with tests for finite and infinite numbers of linear constraints, while, in the second one, we apply χ²-methodology for parametric testing against contamination.
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Submitted on : Wednesday, January 12, 2011 - 2:26:35 PM
Last modification on : Friday, May 24, 2019 - 5:30:07 PM
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  • HAL Id : hal-00555139, version 1
  • ARXIV : 1101.4353

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Michel Broniatowski, Samantha Leorato. An estimation method for the chi-square divergence with application to test of hypotheses. Journal of Multivariate Analysis, Elsevier, 2016, 97 (6), pp.409-1436. ⟨hal-00555139⟩

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