Continuation theorems of the extremes under power normalization

DOI10.1007/BF02936201zbMath1008.60042MaRDI QIDQ1847583

H. M. Barakat, E. M. Nigm, Magdy E. El-Adll

Publication date: 28 March 2003

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

weak convergencepower normalizationthe max domain of attraction

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items

Bootstrapping extremes of random variables under power normalization ⋮ On the restricted convergence of generalized extreme order statistics

Cites Work

• Extremes and related properties of random sequences and processes
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• On the continuation of the limit distributions of the extreme and central terms of a sample
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• Sur la distribution limite du terme maximum d'une série aléatoire
• Max Domains of Attraction of Univariate and Multivariate p-Max Stable Laws
• On a Problem of Kolmogorov Concerning the Normal Distribution
• A New Version of the Central Limit Theorem
• A form of regular variation and its application to the domain of attraction of the double exponential distribution
• Theory and application of some classical and generalized asymptotic distributions of extreme values
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