Equivalence classes of regularly varying functions

DOI10.1016/0304-4149(74)90017-9zbMath0287.26003OpenAlexW2080116167MaRDI QIDQ1845839

Laurens De Haan

Publication date: 1974

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(74)90017-9

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

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Extremes of censored and uncensored lifetimes in survival data ⋮ On the shape of the mean residual lifetime function ⋮ The mean residual life function at great age: Applications to tail estimation ⋮ The extended gamma class and applications ⋮ Heavy-Traffic Analysis of Sojourn Time Under the Foreground–Background Scheduling Policy ⋮ Lower bound in regression for functional data by representation of small ball probabilities ⋮ Local linear regression for functional data ⋮ Limit laws for random vectors with an extreme component ⋮ Trimmed Lévy processes and their extremal components ⋮ Classes of sequences of real numbers, games and selection properties ⋮ Weak convergence with random indices ⋮ General regular variation, Popa groups and quantifier weakening ⋮ A Discrimination Test for Tails of Weibull-Type Distributions ⋮ Quantifying closeness of distributions of sums and maxima when tails are fat ⋮ On subordinated distributions and random record processes

Cites Work

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• Sur la distribution limite du terme maximum d'une série aléatoire
• Moment Convergence of Sample Extremes
• Products of distribution functions attracted to extreme value laws
• Products of distribution functions attracted to extreme value laws
• The Rate of Growth of Sample Maxima
• Almost sure limit points of record values

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