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Optimal Rate-Exponent Region for a Class of Hypothesis Testing Against Conditional Independence Problems (1904.03028v1)
Published 4 Apr 2019 in cs.IT, math.IT, math.ST, and stat.TH
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.