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Boise State University Theses and Dissertations

2014

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On Uniformly Most Powerful Decentralized Detection, Uri Rogers May 2014

On Uniformly Most Powerful Decentralized Detection, Uri Rogers

Boise State University Theses and Dissertations

The theory behind Uniformly Most Powerful (UMP) composite binary hypothesis testing is mature and well defined in centralized detection where all observations are directly accessible at one central node. However, within the area of decentralized detection, UMP tests have not been researched, even though tests of this nature have properties that are highly desirable. The purpose of this research is to extend the UMP concept into decentralized detection, which we define as UMP decentralized detection (UMP-DD). First, the standard parallel decentralized detection model with conditionally independent observations will be explored. This section will introduce theorems and corollaries that define when …