General results for the Marshall and Olkin's family of distributions

Detalhes bibliográficos
Autor(a) principal: BARRETO-SOUZA,WAGNER
Data de Publicação: 2013
Outros Autores: LEMONTE,ARTUR J., CORDEIRO,GAUSS M.
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=S0001-37652013000100003
Resumo: Abstract Marshall and Olkin (1997) introduced an interesting method of adding a parameter to a well-established distribution. However, they did not investigate general mathematical properties of their family of distributions. We provide for this family of distributions general expansions for the density function, explicit expressions for the moments and moments of the order statistics. Several especial models are investigated. We discuss estimation of the model parameters. An application to a real data set is presented for illustrative purposes.
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spelling General results for the Marshall and Olkin's family of distributionsMarshall-Olkin extended distributionmaximum likelihood estimationMonte Carlo simulationRényi entropyAbstract Marshall and Olkin (1997) introduced an interesting method of adding a parameter to a well-established distribution. However, they did not investigate general mathematical properties of their family of distributions. We provide for this family of distributions general expansions for the density function, explicit expressions for the moments and moments of the order statistics. Several especial models are investigated. We discuss estimation of the model parameters. An application to a real data set is presented for illustrative purposes.Academia Brasileira de Ciências2013-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000100003Anais da Academia Brasileira de Ciências v.85 n.1 2013reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652013000100002info:eu-repo/semantics/openAccessBARRETO-SOUZA,WAGNERLEMONTE,ARTUR J.CORDEIRO,GAUSS M.eng2015-10-19T00:00:00Zoai:scielo:S0001-37652013000100003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2015-10-19T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv General results for the Marshall and Olkin's family of distributions
title General results for the Marshall and Olkin's family of distributions
spellingShingle General results for the Marshall and Olkin's family of distributions
BARRETO-SOUZA,WAGNER
Marshall-Olkin extended distribution
maximum likelihood estimation
Monte Carlo simulation
Rényi entropy
title_short General results for the Marshall and Olkin's family of distributions
title_full General results for the Marshall and Olkin's family of distributions
title_fullStr General results for the Marshall and Olkin's family of distributions
title_full_unstemmed General results for the Marshall and Olkin's family of distributions
title_sort General results for the Marshall and Olkin's family of distributions
author BARRETO-SOUZA,WAGNER
author_facet BARRETO-SOUZA,WAGNER
LEMONTE,ARTUR J.
CORDEIRO,GAUSS M.
author_role author
author2 LEMONTE,ARTUR J.
CORDEIRO,GAUSS M.
author2_role author
author
dc.contributor.author.fl_str_mv BARRETO-SOUZA,WAGNER
LEMONTE,ARTUR J.
CORDEIRO,GAUSS M.
dc.subject.por.fl_str_mv Marshall-Olkin extended distribution
maximum likelihood estimation
Monte Carlo simulation
Rényi entropy
topic Marshall-Olkin extended distribution
maximum likelihood estimation
Monte Carlo simulation
Rényi entropy
description Abstract Marshall and Olkin (1997) introduced an interesting method of adding a parameter to a well-established distribution. However, they did not investigate general mathematical properties of their family of distributions. We provide for this family of distributions general expansions for the density function, explicit expressions for the moments and moments of the order statistics. Several especial models are investigated. We discuss estimation of the model parameters. An application to a real data set is presented for illustrative purposes.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-01
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=S0001-37652013000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000100003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652013000100002
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.85 n.1 2013
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
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instname_str Academia Brasileira de Ciências (ABC)
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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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