Limit theorems for the spacings of weak records

DOI10.1007/s00184-010-0320-xzbMath1238.62061OpenAlexW2016193157MaRDI QIDQ421062

Enkelejd Hashorva, Alexei Stepanov

Publication date: 23 May 2012

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-010-0320-x

zbMATH Keywords

convergence in distributionalmost sure convergenceweak recordsspacings of weak records

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Strong limit theorems (60F15)

Related Items (5)

Asymptotic properties of the spacings of kth records from discrete distributions ⋮ Asymptotic behavior of the ratio of weak kth records ⋮ Discrete records: limit theorems for their spacings and generation methods ⋮ Limiting behavior of the ratio of \(k\)th records ⋮ Asymptotic results for empirical means of independent geometric distributed random variables

Cites Work

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• Foundations of Modern Probability
• Linearity of regression for the past weak and ordinary records
• A Characterization Theorem for Weak Records
• Some bivariate beta distributions
• A Characterization of Geometric Distribution Throughkth Weak Records
• Discrete distributions for which the regression of the first record on the second is linear

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