A new class of distributions as a finite functional mixture using functional weights

Detalhes bibliográficos
Autor(a) principal: BOUALI,DALAL LALA
Data de Publicação: 2021
Outros Autores: CHESNEAU,CHRISTOPHE, SHARMA,VIKAS KUMAR, BAKOUCH,HASSAN S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301
Resumo: Abstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution with three parameters, a dilation transformation and a weight with polynomial decay, leading to a new life-time distribution. The explicit expressions of the moments generating function, moments and quantile function of the proposed distribution are provided. For estimating the parameters, the method of maximum likelihood estimation is used. Two applications with practical data sets are given.
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spelling A new class of distributions as a finite functional mixture using functional weightsfinite mixtureweighted distributionexponential distributionmoment generating functionmaximum likelihood estimationAbstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution with three parameters, a dilation transformation and a weight with polynomial decay, leading to a new life-time distribution. The explicit expressions of the moments generating function, moments and quantile function of the proposed distribution are provided. For estimating the parameters, the method of maximum likelihood estimation is used. Two applications with practical data sets are given.Academia Brasileira de Ciências2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301Anais da Academia Brasileira de Ciências v.93 n.2 2021reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765202120181019info:eu-repo/semantics/openAccessBOUALI,DALAL LALACHESNEAU,CHRISTOPHESHARMA,VIKAS KUMARBAKOUCH,HASSAN S.eng2021-06-25T00:00:00Zoai:scielo:S0001-37652021000300301Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2021-06-25T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv A new class of distributions as a finite functional mixture using functional weights
title A new class of distributions as a finite functional mixture using functional weights
spellingShingle A new class of distributions as a finite functional mixture using functional weights
BOUALI,DALAL LALA
finite mixture
weighted distribution
exponential distribution
moment generating function
maximum likelihood estimation
title_short A new class of distributions as a finite functional mixture using functional weights
title_full A new class of distributions as a finite functional mixture using functional weights
title_fullStr A new class of distributions as a finite functional mixture using functional weights
title_full_unstemmed A new class of distributions as a finite functional mixture using functional weights
title_sort A new class of distributions as a finite functional mixture using functional weights
author BOUALI,DALAL LALA
author_facet BOUALI,DALAL LALA
CHESNEAU,CHRISTOPHE
SHARMA,VIKAS KUMAR
BAKOUCH,HASSAN S.
author_role author
author2 CHESNEAU,CHRISTOPHE
SHARMA,VIKAS KUMAR
BAKOUCH,HASSAN S.
author2_role author
author
author
dc.contributor.author.fl_str_mv BOUALI,DALAL LALA
CHESNEAU,CHRISTOPHE
SHARMA,VIKAS KUMAR
BAKOUCH,HASSAN S.
dc.subject.por.fl_str_mv finite mixture
weighted distribution
exponential distribution
moment generating function
maximum likelihood estimation
topic finite mixture
weighted distribution
exponential distribution
moment generating function
maximum likelihood estimation
description Abstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution with three parameters, a dilation transformation and a weight with polynomial decay, leading to a new life-time distribution. The explicit expressions of the moments generating function, moments and quantile function of the proposed distribution are provided. For estimating the parameters, the method of maximum likelihood estimation is used. Two applications with practical data sets are given.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765202120181019
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.93 n.2 2021
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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