Rayleigh Mixture Distribution

Rayleigh Mixture Distribution

This paper presents Rayleigh mixtures of distributions in which the weight functions are assumed to be chi-square, 𝑡 and 𝐹 sampling distributions. The exact probability density functions of the mixture of two correlated Rayleigh random variables have been derived. Different moments, characteristic f...

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Main Authors: Rezaul Karim, Pear Hossain, Sultana Begum, Forhad Hossain
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/238290
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spelling doaj-d854b86dbd7a4ab8b9394efb3fe220bf2020-11-24T22:44:10ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/238290238290Rayleigh Mixture DistributionRezaul Karim0Pear Hossain1Sultana Begum2Forhad Hossain3Department of Statistics, Jahangirnagar University, Savar, Dhaka 1342, BangladeshDepartment of Statistics, Jahangirnagar University, Savar, Dhaka 1342, BangladeshDepartment of Statistics, Jahangirnagar University, Savar, Dhaka 1342, BangladeshDepartment of Statistics, Jahangirnagar University, Savar, Dhaka 1342, BangladeshThis paper presents Rayleigh mixtures of distributions in which the weight functions are assumed to be chi-square, 𝑡 and 𝐹 sampling distributions. The exact probability density functions of the mixture of two correlated Rayleigh random variables have been derived. Different moments, characteristic functions, shape characteristics, and the estimates of the parameters of the proposed mixture distributions using method of moments have also been provided.http://dx.doi.org/10.1155/2011/238290
collection DOAJ
language English
format Article
sources DOAJ
author Rezaul Karim
Pear Hossain
Sultana Begum
Forhad Hossain
spellingShingle Rezaul Karim
Pear Hossain
Sultana Begum
Forhad Hossain
Rayleigh Mixture Distribution
Journal of Applied Mathematics
author_facet Rezaul Karim
Pear Hossain
Sultana Begum
Forhad Hossain
author_sort Rezaul Karim
title Rayleigh Mixture Distribution
title_short Rayleigh Mixture Distribution
title_full Rayleigh Mixture Distribution
title_fullStr Rayleigh Mixture Distribution
title_full_unstemmed Rayleigh Mixture Distribution
title_sort rayleigh mixture distribution
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2011-01-01
description This paper presents Rayleigh mixtures of distributions in which the weight functions are assumed to be chi-square, 𝑡 and 𝐹 sampling distributions. The exact probability density functions of the mixture of two correlated Rayleigh random variables have been derived. Different moments, characteristic functions, shape characteristics, and the estimates of the parameters of the proposed mixture distributions using method of moments have also been provided.
url http://dx.doi.org/10.1155/2011/238290
work_keys_str_mv AT rezaulkarim rayleighmixturedistribution
AT pearhossain rayleighmixturedistribution
AT sultanabegum rayleighmixturedistribution
AT forhadhossain rayleighmixturedistribution
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