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Some Remarks on Distributed Sensing with Costs
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Probability in the engineering and informational sciences (Print), ISSN 0269-9648, E-ISSN 1469-8951, Vol. 28, no 2, 271-277 p.Article in journal (Refereed) Published
Abstract [en]

A recent paper by Pozdnyakov and Steele [6] is devoted to distributed sensor networks in which the sensors send summarized information to some remotely located fusion agents. Main focus is on sensors that send their information according to a so-called binary-pluspassive design. Some exact relations in a sequential approach, aimed at making decisions before a given budget is exhausted are presented. In this paper, we provide asymptotic results in the case of more general sensors for increasing budgets. The essential ingredient is the observation that the setting can be modeled within the framework of certain stopped two-dimensional random walks. We also provide asymptotics for the cost for large decision boundaries, and, finally, some comments on the probability of a positive/negative decision as well as on the duration of the process until a decision is made in the binary-plus-passive design.

Place, publisher, year, edition, pages
2014. Vol. 28, no 2, 271-277 p.
National Category
URN: urn:nbn:se:uu:diva-231140DOI: 10.1017/S026996481300048XISI: 000339623000007OAI: oai:DiVA.org:uu-231140DiVA: diva2:743545
Available from: 2014-09-04 Created: 2014-09-04 Last updated: 2014-09-04Bibliographically approved

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Gut, Allan
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