Optimal Rate-Exponent Region for a Class of Hypothesis Testing Against Conditional Independence Problems

Abdellatif Zaidi; Inaki Estella Aguerri

Optimal Rate-Exponent Region for a Class of Hypothesis Testing Against Conditional Independence Problems

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arxiv 1904.03028 v1 pith:GUPUIWHD submitted 2019-04-04 cs.IT math.ITmath.STstat.TH

Abdellatif Zaidi , Inaki Estella Aguerri This is my paper · ORCID

classification cs.ITmath.ITmath.STstat.TH

keywords classconditionalerrorhypothesisindependencememorylessproblemsrate

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abstract

We study a class of distributed hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error rate subject to a (constant) upper bound $\epsilon$ on the Type I error rate, we characterize the set of encoding rates and exponent for both discrete memoryless and memoryless vector Gaussian settings.

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Distributed Hypothesis Testing over a Noisy Channel: Error-exponents Trade-off
stat.OT 2019-08 conditional novelty 6.0 of 10

Distributed binary hypothesis testing over a discrete memoryless channel is studied, with an exact error-exponent tradeoff for remote testing and two inner bounds for the general correlated case.

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