Limit distributions of generalized order statistics under power normalization

DOI10.1080/03610929908832362zbMath1045.62508OpenAlexW1991095932MaRDI QIDQ4266714

Dirk Nasri-Roudsari

Publication date: 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929908832362

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Related Items (16)

SOME MEASURES INFORMATION FOR GENERALIZED AND q-GENERALIZED EXTREME VALUES AND ITS PROPERTIES ⋮ Expansions on extremes from logarithmic general error distribution under power normalization ⋮ A new flexible extreme value model for modeling the extreme value data, with an application to environmental data ⋮ Some new characterizations of max domains of attraction of Fréchet and log-Fréchet laws under power normalization ⋮ Limit theory of generalized order statistics ⋮ Comparison between the rates of convergence of extremes under linear and under power normalization ⋮ On the limit distribution of lower extreme generalized order statistics ⋮ Extreme value modeling under power normalization ⋮ The Hill estimators under power normalization ⋮ Domains of attraction of asymptotic distributions of extreme generalized order statistics ⋮ ADDITIONAL EXTREME DISTRIBUTION FOR MODELING EXTREME VALUE DATA ⋮ Asymptotic theory of extreme dual generalized order statistics ⋮ The estimations under power normalization for the tail index, with comparison ⋮ On large deviations of extremes under power normalization ⋮ Extreme Value Analysis for Progressively Type-II Censored Order Statistics ⋮ Improved inference for the generalized Pareto distribution under linear, power and exponential normalization

Cites Work

• Extreme value theory of generalized order statistics
• On max domains of attraction of univariate \(p\)-max stable laws
• A concept of generalized order statistics
• A note on domains of attraction of \(p\)-max stable laws
• Sur la distribution limite du terme maximum d'une série aléatoire
• Max Domains of Attraction of Univariate and Multivariate p-Max Stable Laws
• A form of regular variation and its application to the domain of attraction of the double exponential distribution

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