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arXiv · 2001.03917

Error Exponents of Mismatched Likelihood Ratio Testing

Parham Boroumand·Albert Guillen i Fabregas
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Abstract

We study the problem of mismatched likelihood ratio test. We analyze the type-\RNum{1} and \RNum{2} error exponents when the actual distributions generating the observation are different from the distributions used in the test. We derive the worst-case error exponents when the actual distributions generating the data are within a relative entropy ball of the test distributions. In addition, we study the sensitivity of the test for small relative entropy balls.

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Parham Boroumand, Albert Guillen i Fabregas. 2020-01-12. Error Exponents of Mismatched Likelihood Ratio Testing. https://arxiv.org/abs/2001.03917

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