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A characteristic martingale related to the counting process of records

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Publication:2385603
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DOI10.1007/s10959-007-0065-2zbMath1132.60045OpenAlexW2030295368MaRDI QIDQ2385603

F. Javier López, Gerardo Sanz, Raúl Gouet

Publication date: 12 October 2007

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

Full work available at URL: https://doi.org/10.1007/s10959-007-0065-2


zbMATH Keywords

martingalesrecordscharacterization of distributions


Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70)


Related Items (2)

Characterizations of the Weibull and uniform distributions using record values ⋮ Numbers of near bivariate record-concomitant observations



Cites Work

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  • Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
  • On characterizations based on record values and order statistics
  • Two characterizations based on order statistics and records
  • Waiting times without memory
  • The Integrated Cauchy Functional Equation: Some Comments on Recent Papers
  • Central limit theorems for the number of records in discrete models


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