Bugs on a budget: Distributed sensing with cost for reporting and nonreporting

  • Authors:

  • Vladimir Pozdnyakov;J. michael Steele

  • Affiliations:

  • Department of statistics, university of connecticut, storrs, ct 06269-4120 e-mail: vladimir.pozdnyakov@uconn.edu;Department of statistics, university of pennsylvania, philadelphia, pa 19104 e-mail: steele@wharton.upenn.edu

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2010

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Abstract

We consider a simple model of sequential decisions made by a fusion agent that receives binary-passive reports from distributed sensors. The main result is an explicit formula for the probability of making a decision before a fixed budget is exhausted. These results depend on the relationship between a special ruin problem for a “lazy random walk” and a traditional biased walk.