Asymptotic order statistics of mixtures of distributions

Haroon M. Barakat; Mohamed A. Abd Elgawad; Metwally A. Alawady

doi:10.1216/rmj.2020.50.429

Abstract

We study the asymptotic distribution of the linearly normalized extremes under finite mixture models. Moreover, the asymptotic distributions of the generally normalized central and intermediate order statistics under finite mixture models are studied.

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Haroon M. Barakat. Mohamed A. Abd Elgawad. Metwally A. Alawady. "Asymptotic order statistics of mixtures of distributions." Rocky Mountain J. Math. 50 (2) 429 - 443, April 2020. https://doi.org/10.1216/rmj.2020.50.429

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Received: 9 August 2019; Accepted: 17 September 2019; Published: April 2020

First available in Project Euclid: 29 May 2020

zbMATH: 07210969

MathSciNet: MR4104384

Digital Object Identifier: 10.1216/rmj.2020.50.429

Subjects:

Primary: 62E20

Secondary: 62G30 , 62G32

Keywords: mixture distributions , Nonlinear normalization , order statistics , weak convergence

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