Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences

In this paper, we study the limit distributions of extreme, intermediate, and central order statistics, as well as record values, of the mixture of two stationary Gaussian sequences under equicorrelated setup.

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Main Authors: H. M. Barakat, M. H. Dwes
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/7956195
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author H. M. Barakat
M. H. Dwes
author_facet H. M. Barakat
M. H. Dwes
author_sort H. M. Barakat
collection DOAJ
description In this paper, we study the limit distributions of extreme, intermediate, and central order statistics, as well as record values, of the mixture of two stationary Gaussian sequences under equicorrelated setup.
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issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
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spelling doaj-art-335bf7a769cd49e29655ac83189f08102025-08-20T02:24:17ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7956195Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian SequencesH. M. Barakat0M. H. Dwes1Department of MathematicsDepartment of MathematicsIn this paper, we study the limit distributions of extreme, intermediate, and central order statistics, as well as record values, of the mixture of two stationary Gaussian sequences under equicorrelated setup.http://dx.doi.org/10.1155/2022/7956195
spellingShingle H. M. Barakat
M. H. Dwes
Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
Journal of Mathematics
title Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
title_full Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
title_fullStr Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
title_full_unstemmed Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
title_short Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences
title_sort limit distributions of ordered random variables in mixture of two gaussian sequences
url http://dx.doi.org/10.1155/2022/7956195
work_keys_str_mv AT hmbarakat limitdistributionsoforderedrandomvariablesinmixtureoftwogaussiansequences
AT mhdwes limitdistributionsoforderedrandomvariablesinmixtureoftwogaussiansequences