Limit theorems for intermediate and central order statistics under nonlinear normalization

DOI10.1016/j.jspi.2010.06.031zbMath1203.62096OpenAlexW2003664630MaRDI QIDQ710818

A. R. Omar, H. M. Barakat

Publication date: 22 October 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.06.031

zbMATH Keywords

functional equationsintermediate order statisticspower normalizationweak limitscentral order statisticsnonlinear normalization

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (8)

Power limits for central order statistics. I. Continuous limit laws ⋮ Bootstrap method for central and intermediate order statistics under power normalization ⋮ A new flexible extreme value model for modeling the extreme value data, with an application to environmental data ⋮ Asymptotic order statistics of mixtures of distributions ⋮ Limit theorems for order statistics with variable rank under exponential normalization ⋮ New power limits for extremes ⋮ A note on domains of attraction of the limit laws of intermediate order statistics under power normalization ⋮ Extreme Value Analysis for Progressively Type-II Censored Order Statistics

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• Max Domains of Attraction of Univariate and Multivariate p-Max Stable Laws
• Advanced Probability Theory, Second Edition,
• On Limit Distributions for Order Statistics
• Theory and application of some classical and generalized asymptotic distributions of extreme values

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