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On the number of records in an iid discrete sequence

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Publication:1776118
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DOI10.1007/s10959-004-2578-2zbMath1065.60055OpenAlexW4246315946MaRDI QIDQ1776118

Eric S. Key

Publication date: 20 May 2005

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-004-2578-2


zbMATH Keywords

discrete distributionsRecord valuesdiscrete hazard functionstrong limitsweak record values


Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70)


Related Items (6)

The multiplicity of left-to-right maxima in geometrically distributed words ⋮ Asymptotic behavior of the ratio of weak kth records ⋮ On \(\delta\)-record observations: asymptotic rates for the counting process and elements of maximum likelihood estimation ⋮ Left-to-right maxima in words and multiset permutations ⋮ Asymptotic normality for the counting process of weak records and \(\delta \)-records in discrete models ⋮ Laws of large numbers for the number of weak records



Cites Work

  • Limit theorems for records from discrete distributions
  • A martingale approach to strong convergence of the number of records
  • AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
  • Unnamed Item




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