Asymptotic Distributions of Order Statistics and Record Values Under the Marshall–Olkin Parametrization Operation

DOI10.1080/03610920802361373zbMath1171.62009OpenAlexW2002155559MaRDI QIDQ3396337

Essam K. AL-Hussaini, M. E. Ghitany, H. M. Barakat

Publication date: 18 September 2009

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

Full work available at URL: https://doi.org/10.1080/03610920802361373

zbMATH Keywords

weak convergencedomain of attractionrecordsextremes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (6)

On the Harris extended family of distributions ⋮ Limit theorems of order statistics and record values from the gamma- and Kumaraswamy-generated-distributions ⋮ On some generalized families arising from mixture normal distribution with applications ⋮ Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions ⋮ A new method for adding two parameters to a family of distributions with application to the normal and exponential families ⋮ Toward the establishment of a family of distributions that may fit any dataset

Cites Work

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• Extremes and related properties of random sequences and processes
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Limit Distributions for Order Statistics. I
• A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families

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