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

2019/04/04 by Abdellatif Zaidi, Zaidi, Abdellatif, Iñaki Estella Aguerri +1
Computer Science · Mathematics · #Distributed Sensor Networks and Detection Algorithms #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Machine Learning and Algorithms #Statistical Methods and Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1904.03028

openalex publication_date 2019/04/04 · openalex created_date 2022/07/24 · openalex updated_date 2026/07/28

Abstract

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

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