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Testing Composite Null Hypothesis Based on SSS-Divergences

16 April 2015
A. Ghosh
A. Basu
ArXiv (abs)PDFHTML
Abstract

We present a robust test for composite null hypothesis based on the general SSS-divergence family. This requires a non-trivial extension of the results of Ghosh et al.~(2015). We derive the asymptotic and theoretical robustness properties of the resulting test along with the properties of the minimum SSS-divergence estimators under parameter restrictions imposed by the null hypothesis. An illustration in the context of the normal model is also presented.

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