A variation of the Newton-Pepys problem and its connections to size-estimation problems
2013 (English)In: Statistics and Probability Letters, ISSN 0167-7152, Vol. 83, no 5, 1472-1478 p.Article in journal (Refereed) Published
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.
Bernoulli trials, John Smith problem
IdentifiersURN: urn:nbn:se:kth:diva-122509DOI: 10.1016/j.spl.2013.02.008ISI: 000317808700023ScopusID: 2-s2.0-84875273594OAI: oai:DiVA.org:kth-122509DiVA: diva2:622851
FunderEU, European Research Council, 257462 HYCON2 Network of ExcellenceSwedish Research CouncilKnut and Alice Wallenberg Foundation
QC 201305232013-05-232013-05-232013-05-23Bibliographically approved