Some Properties of Optimal Thresholds in Decentralized Detection

@inproceedings{IrvingSomePO,
  title={Some Properties of Optimal Thresholds in Decentralized Detection},
  author={William W. Irving and John N. Tsitsiklis}
}
A decentralized Bayesian hypothesis testing problem is considered. It is analytically demonstrated that for the binary hypothesis problem, when there are two sensors with statistically independent Gaussian-distributed observations (conditioned on the true hypothesis), there is no loss in optimality in using the same decision rule at both sensors. Also, a multiple hypothesis problem is considered; some structure is analytically established for an optimal set of decision rules. 
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Handbook of Mathematical Functions

  • M. Abromowitz, I. Stegun
  • National Bureau of Standards,
  • 1964

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