General results for the transmuted Family of distributions and new models
The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptot...
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Journal of Probability and Statistics
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ri-123456789-496782022-11-08T18:23:27Z General results for the transmuted Family of distributions and new models Bourguignon, Marcelo Ghosh, Indranil Cordeiro, Gauss M. Transmuted Family Information Theory Maximum Likelihood Estimation The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, R´enyi and Shannon entropies, and order statistics and their moments. We estimate the model parameters of the family by the method of maximum likelihood. We prove empirically the flexibility of the proposed model by means of an application to a real data set. 2022-11-08T18:23:25Z 2022-11-08T18:23:25Z 2016 article BOURGUIGNON, Marcelo; GHOSH, Indranil; CORDEIRO, Gauss M. . General Results for the Transmuted Family of Distributions and New Models. Journal of Probability and Statistics, v. 2016, p. 1-12, 2016. Disponível em:https://www.hindawi.com/journals/jps/2016/7208425. Acesso em: 07 dez. 2017. https://repositorio.ufrn.br/handle/123456789/49678 http://dx.doi.org/10.1155/2016/7208425 en Acesso Aberto application/pdf Journal of Probability and Statistics |
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Transmuted Family Information Theory Maximum Likelihood Estimation |
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Transmuted Family Information Theory Maximum Likelihood Estimation Bourguignon, Marcelo Ghosh, Indranil Cordeiro, Gauss M. General results for the transmuted Family of distributions and new models |
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The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, R´enyi and Shannon entropies, and order statistics and their moments. We estimate the model parameters of the family by the method of maximum likelihood. We prove empirically the flexibility of the proposed model by means of an application to a real data set. |
format |
article |
author |
Bourguignon, Marcelo Ghosh, Indranil Cordeiro, Gauss M. |
author_facet |
Bourguignon, Marcelo Ghosh, Indranil Cordeiro, Gauss M. |
author_sort |
Bourguignon, Marcelo |
title |
General results for the transmuted Family of distributions and new models |
title_short |
General results for the transmuted Family of distributions and new models |
title_full |
General results for the transmuted Family of distributions and new models |
title_fullStr |
General results for the transmuted Family of distributions and new models |
title_full_unstemmed |
General results for the transmuted Family of distributions and new models |
title_sort |
general results for the transmuted family of distributions and new models |
publisher |
Journal of Probability and Statistics |
publishDate |
2022 |
url |
https://repositorio.ufrn.br/handle/123456789/49678 http://dx.doi.org/10.1155/2016/7208425 |
work_keys_str_mv |
AT bourguignonmarcelo generalresultsforthetransmutedfamilyofdistributionsandnewmodels AT ghoshindranil generalresultsforthetransmutedfamilyofdistributionsandnewmodels AT cordeirogaussm generalresultsforthetransmutedfamilyofdistributionsandnewmodels |
_version_ |
1773963692419842048 |