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The average position of the \(d\)th maximum in a sample of geometric random variables

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Publication:1012211
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DOI10.1016/j.spl.2008.11.008zbMath1159.60300OpenAlexW2039723155MaRDI QIDQ1012211

Arnold Knopfmacher, Margaret Archibald

Publication date: 15 April 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.11.008



Mathematics Subject Classification ID

Combinatorial probability (60C05) Asymptotic enumeration (05A16)


Related Items

Consecutive records in geometrically distributed words ⋮ Descents following maximal values in samples of geometric random variables



Cites Work

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  • Mellin transforms and asymptotics: Finite differences and Rice's integrals
  • Yet another application of a binomial recurrence. Order statistics
  • A result in order statistics related to probabilistic counting
  • The asymptotic probability of a tie for first place
  • On the number of maxima in a discrete sample
  • The number of winners in a discrete geometrically distributed sample
  • A necessary and sufficient condition for the existence of the limiting probability of a tie for first place
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