A note on the paper of Khmaladze et al

DOI10.1016/j.spl.2004.04.014zbMath1052.60043OpenAlexW2008345586MaRDI QIDQ1881241

Narayanaswamy Balakrishnan, Alexei Stepanov

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.04.014

zbMATH Keywords

strong lawBarndorff-Nielsen's lemmanear-maximum observations

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Related Items (10)

Numbers of near-maxima for the bivariate case ⋮ Number of observations near the maximum in anF^α-scheme ⋮ The number of records within a random interval of the current record value ⋮ Limit theorems for runs based on `small spacings' ⋮ Asymptotic normality for the counting process of weak records and \(\delta \)-records in discrete models ⋮ Asymptotic properties of numbers of near minimum observations under progressive type-II censoring ⋮ Criteria for convergence of the number of near maxima for long tails ⋮ How Many Observations Fall in a Neighborhood of an Order Statistic? ⋮ Slow convergence of the number of near-maxima for Burr XII distributions ⋮ Runs in an ordered sequence of random variables

Cites Work

• A note on the number of records near the maximum
• Limit laws for the number of near maxima via the Poisson approximation
• Asymptotic behaviour of a number of repeated records
• A note on the number of maxima in a discrete sample
• A note on the number of observations near an order statistic
• The number and sum of near-maxima for thin-tailed populations
• ON THE NUMBER OF RECORDS NEAR THE MAXIMUM
• On the number of near-records after the maximum observation in a continuous sample
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.

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