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BUGS ON A BUDGET: DISTRIBUTED SENSING WITH COST FOR REPORTING AND NONREPORTING

Published online by Cambridge University Press:  19 August 2010

Vladimir Pozdnyakov  and
J. Michael Steele
Vladimir Pozdnyakov
Affiliation:
Department of Statistics, University of Connecticut, Storrs, CT 06269-4120 E-mail: vladimir.pozdnyakov@uconn.edu
J. Michael Steele
Affiliation:
Department of Statistics, University of Pennsylvania, Philadelphia, PA 19104 E-mail: steele@wharton.upenn.edu
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 24 , Issue 4 , October 2010 , pp. 525 - 534
Copyright
Copyright © Cambridge University Press 2010

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References

1.Chong, C.-X. & Kumar, S.P. (2003). Sensor networks: Evolution, opportunities, and challenges. Proceedings of the IEEE 91, 1247–1256.CrossRefGoogle Scholar
2.Feller, W. (1968). An Introduction to probability theory and its applications, Vol. 1, 3rd ed. New York: Wiley.Google Scholar
3.Guerriero, M., Pozdnyakov, V., Glaz, J. & Willett, P. (2010). A repeated significance test with applications to sequential detection in sensor networks. IEEE Transactions on Signal Processing 58: 3426–3435.CrossRefGoogle Scholar
4.Lengyel, T. (to appear). Gambler's ruin & winning a series by m games. Annals of the Institute of Statistical Mathematics doi: 10.1007/s10463-008-0214-0.CrossRefGoogle Scholar