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A variation of the Newton-Pepys problem and its connections to size-estimation problems
KTH, School of Electrical Engineering (EES), Automatic Control.
2013 (English)In: Statistics and Probability Letters, ISSN 0167-7152, Vol. 83, no 5, 1472-1478 p.Article in journal (Refereed) Published
Abstract [en]

This paper considers a variation of the 17th century problem commonly known as the Newton-Pepys problem, or the John Smith's problem. We provide its solution and interpret the result in terms of maximum likelihood estimation. In addition, we illustrate the practical relevance of these findings for solving size-estimation problems, and in particular for determining the number of agents in a wireless sensor network.

Place, publisher, year, edition, pages
2013. Vol. 83, no 5, 1472-1478 p.
Keyword [en]
Bernoulli trials, John Smith problem
National Category
URN: urn:nbn:se:kth:diva-122509DOI: 10.1016/j.spl.2013.02.008ISI: 000317808700023ScopusID: 2-s2.0-84875273594OAI: diva2:622851
EU, European Research Council, 257462 HYCON2 Network of ExcellenceSwedish Research CouncilKnut and Alice Wallenberg Foundation

QC 20130523

Available from: 2013-05-23 Created: 2013-05-23 Last updated: 2013-05-23Bibliographically approved

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Varagnolo, Damiano
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