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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/238290 |
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| _version_ | 1832568109500727296 |
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| author | Rezaul Karim Pear Hossain Sultana Begum Forhad Hossain |
| author_facet | Rezaul Karim Pear Hossain Sultana Begum Forhad Hossain |
| author_sort | Rezaul Karim |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d854b86dbd7a4ab8b9394efb3fe220bf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d854b86dbd7a4ab8b9394efb3fe220bf2025-02-03T00:59:45ZengWileyJournal 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 |
| spellingShingle | Rezaul Karim Pear Hossain Sultana Begum Forhad Hossain Rayleigh Mixture Distribution Journal of Applied Mathematics |
| title | Rayleigh Mixture Distribution |
| title_full | Rayleigh Mixture Distribution |
| title_fullStr | Rayleigh Mixture Distribution |
| title_full_unstemmed | Rayleigh Mixture Distribution |
| title_short | Rayleigh Mixture Distribution |
| title_sort | rayleigh mixture distribution |
| 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 |