A note on domains of attraction of the limit laws of intermediate order statistics under power normalization

DOI10.1016/j.stamet.2016.01.001zbMath1487.62044OpenAlexW2290713835MaRDI QIDQ670103

H. M. Barakat, A. R. Omar

Publication date: 18 March 2019

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2016.01.001

zbMATH Keywords

extreme value theoryintermediate order statisticsdomains of attractionpower normalization

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Asymptotic properties of parametric tests (62F05)

Related Items (2)

Asymptotic order statistics of mixtures of distributions ⋮ Limit theorems for order statistics with variable rank under exponential normalization

Cites Work

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• General max-stable laws
• Limit theorems for intermediate and central order statistics under nonlinear normalization
• Extremes and related properties of random sequences and processes
• Limit theorems on order statistics
• Laws of large numbers for sums of extreme values
• Statistical inference using extreme order statistics
• On max domains of attraction of univariate \(p\)-max stable laws
• Extreme value modeling under power normalization
• A note on domains of attraction of \(p\)-max stable laws
• Limit theorems for record values using power normalization
• Max Domains of Attraction of Univariate and Multivariate p-Max Stable Laws
• On Limit Distributions for Order Statistics
• Continuability of local weak limits for record values

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