Asymptotic Distributions of the Generalized Range, Midrange, Extremal Quotient, and Extremal Product, with a Comparison Study

DOI10.1080/03610926.2012.750356zbMath1388.62138OpenAlexW2023965043MaRDI QIDQ5259101

E. M. Nigm, A. M. Elsawah, H. M. Barakat

Publication date: 24 June 2015

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.750356

zbMATH Keywords

weak convergencerangegeneralized order statisticsmidrangeextremal quotientgeometric rangeextremal product

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 (2)

On asymptotic properties of spacings ⋮ Asymptotic behavior of the joint record values, with applications

Cites Work

• Extreme value theory of generalized order statistics
• A curtailed test for the shape parameter of the Weibull distribution
• An extremal quotient test for exponential distributions
• Limit theory of generalized order statistics
• Sur la distribution limite du terme maximum d'une série aléatoire
• Weak limits of sample range
• Weak Limit of the Sample Extremal Quotient
• On the convergence rates of extreme generalized order statistics
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