On limit laws for sums of Pfeifer records

DOI10.1007/s10687-007-0043-1zbMath1164.62018OpenAlexW1994722709MaRDI QIDQ1003312

Barry C. Arnold, José A. Villaseñor

Publication date: 28 February 2009

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10687-007-0043-1

zbMATH Keywords

order statisticsregularly varying functions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Statistics of extreme values; tail inference (62G32)

Related Items (4)

Generalized order statistic processes and Pfeifer records ⋮ Asymptotic properties of near Pfeifer records ⋮ Convergence of linear functions of Pfeifer records ⋮ Extreme Value Analysis for Progressively Type-II Censored Order Statistics

Cites Work

• Unnamed Item
• The asymptotic distribution of sums of records
• Strong domain of attraction of extreme generalized order statistics
• Marginal distributions of sequential and generalized order statistics
• Asymptotic properties of sums of upper records
• Asymptotics for products of sums and \(U\)-statistics
• A concept of generalized order statistics
• On rates of uniform convergence of lower extreme generalized order statistics
• Limit laws for record values
• Regularly varying functions
• On the convergence rates of extreme generalized order statistics

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