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A New Algorithm for Distributed Nonparametric Sequential Detection

2013/11/14 by Shouvik Ganguly, K. R. Sahasranand, K Sahasranand +4
Computer Science · Decision Sciences · Mathematics · #Advanced Statistical Process Monitoring #Distributed Sensor Networks and Detection Algorithms #FOS: Computer and information sciences #Information Theory (cs.IT) #Target Tracking and Data Fusion in Sensor Networks #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1311.3485

arxiv created 2013/11/14 · openalex publication_date 2013/11/14 · arxiv updated 2013/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We propose a simple algorithm to address the problem. These problems are primarily motivated from wireless sensor networks and spectrum sensing in Cognitive Radios. A decentralized version utilizing spatial diversity is also proposed. Its performance is analysed and asymptotic properties are proved. The simulated and analysed performance of the algorithm is compared with an earlier algorithm addressing the same problem with similar assumptions. We also modify the algorithm for optimizing performance when information about the prior probabilities of occurrence of the two hypotheses are known.

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