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The number of two consecutive successes in a Hoppe-Pólya urn
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematical Statistics.
2008 (English)In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 45, no 3, 901-906 p.Article in journal (Refereed) Published
Abstract [en]

In a sequence of independent Bernoulli trials the probability of success in the kth trial is pk = a/(a + b + k - 1). An explicit formula for the binomial moments of the number of two consecutive successes in the first n trials is obtained and some consequences of it are derived.

Place, publisher, year, edition, pages
2008. Vol. 45, no 3, 901-906 p.
Keyword [en]
Bernoulli trial, Binomial moment, Hoppe urn, Overlapping indicators, Pólya urn, Random permutation, Records
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-154332DOI: 10.1239/jap/1222441836ISI: 000260171800023Scopus ID: 2-s2.0-55549148424OAI: oai:DiVA.org:kth-154332DiVA: diva2:756513
Note

QC 20141017

Available from: 2014-10-17 Created: 2014-10-17 Last updated: 2017-12-05Bibliographically approved

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