Limit theorems for the uppermost \(m\)th spacing based on weak geometric records

DOI10.1016/J.SPL.2021.109351zbMath1489.60095OpenAlexW4205798479WikidataQ113863765 ScholiaQ113863765MaRDI QIDQ2667596

Anna Dembińska, Alexei Stepanov

Publication date: 4 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109351

zbMATH Keywords

spacingsgeometric distributionlimit lawsweak records

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70)

Related Items (1)

On asymptotic properties of spacings

Cites Work

• Beta-gamma tail asymptotics
• Records via probability theory
• On a characterization of the exponential distribution by spacings
• Maximum product of spacings prediction of future record values
• Some characterizations of discrete distributions based on weak records
• BOUNDS ON TAIL PROBABILITIES OF DISCRETE DISTRIBUTIONS
• Stochastic comparisons of spacings of record values from one or two sample sequences
• Asymptotic properties of the spacings of kth records from discrete distributions
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
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