Parameter induction in continuous univariate distributions: Well-established G families
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
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=S0001-37652015000200539 |
Resumo: | The art of parameter(s) induction to the baseline distribution has received a great deal of attention in recent years. The induction of one or more additional shape parameter(s) to the baseline distribution makes the distribution more flexible especially for studying the tail properties. This parameter(s) induction also proved helpful in improving the goodness-of-fit of the proposed generalized family of distributions. There exist many generalized (or generated) G families of continuous univariate distributions since 1985. In this paper, the well-established and widely-accepted G families of distributions like the exponentiated family, Marshall-Olkin extended family, beta-generated family, McDonald-generalized family, Kumaraswamy-generalized family and exponentiated generalized family are discussed. We provide lists of contributed literature on these well-established G families of distributions. Some extended forms of the Marshall-Olkin extended family and Kumaraswamy-generalized family of distributions are proposed. |
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Parameter induction in continuous univariate distributions: Well-established G familiesBeta-distributionexponentiated familyKumaraswamy distributionMarshall-Olkin familyMcDonald distributionreliability propertiesThe art of parameter(s) induction to the baseline distribution has received a great deal of attention in recent years. The induction of one or more additional shape parameter(s) to the baseline distribution makes the distribution more flexible especially for studying the tail properties. This parameter(s) induction also proved helpful in improving the goodness-of-fit of the proposed generalized family of distributions. There exist many generalized (or generated) G families of continuous univariate distributions since 1985. In this paper, the well-established and widely-accepted G families of distributions like the exponentiated family, Marshall-Olkin extended family, beta-generated family, McDonald-generalized family, Kumaraswamy-generalized family and exponentiated generalized family are discussed. We provide lists of contributed literature on these well-established G families of distributions. Some extended forms of the Marshall-Olkin extended family and Kumaraswamy-generalized family of distributions are proposed.Academia Brasileira de Ciências2015-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000200539Anais da Academia Brasileira de Ciências v.87 n.2 2015reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201520140299info:eu-repo/semantics/openAccessTahir,Muhammad H.Nadarajah,Saraleeseng2016-03-04T00:00:00Zoai:scielo:S0001-37652015000200539Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2016-03-04T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false |
dc.title.none.fl_str_mv |
Parameter induction in continuous univariate distributions: Well-established G families |
title |
Parameter induction in continuous univariate distributions: Well-established G families |
spellingShingle |
Parameter induction in continuous univariate distributions: Well-established G families Tahir,Muhammad H. Beta-distribution exponentiated family Kumaraswamy distribution Marshall-Olkin family McDonald distribution reliability properties |
title_short |
Parameter induction in continuous univariate distributions: Well-established G families |
title_full |
Parameter induction in continuous univariate distributions: Well-established G families |
title_fullStr |
Parameter induction in continuous univariate distributions: Well-established G families |
title_full_unstemmed |
Parameter induction in continuous univariate distributions: Well-established G families |
title_sort |
Parameter induction in continuous univariate distributions: Well-established G families |
author |
Tahir,Muhammad H. |
author_facet |
Tahir,Muhammad H. Nadarajah,Saralees |
author_role |
author |
author2 |
Nadarajah,Saralees |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Tahir,Muhammad H. Nadarajah,Saralees |
dc.subject.por.fl_str_mv |
Beta-distribution exponentiated family Kumaraswamy distribution Marshall-Olkin family McDonald distribution reliability properties |
topic |
Beta-distribution exponentiated family Kumaraswamy distribution Marshall-Olkin family McDonald distribution reliability properties |
description |
The art of parameter(s) induction to the baseline distribution has received a great deal of attention in recent years. The induction of one or more additional shape parameter(s) to the baseline distribution makes the distribution more flexible especially for studying the tail properties. This parameter(s) induction also proved helpful in improving the goodness-of-fit of the proposed generalized family of distributions. There exist many generalized (or generated) G families of continuous univariate distributions since 1985. In this paper, the well-established and widely-accepted G families of distributions like the exponentiated family, Marshall-Olkin extended family, beta-generated family, McDonald-generalized family, Kumaraswamy-generalized family and exponentiated generalized family are discussed. We provide lists of contributed literature on these well-established G families of distributions. Some extended forms of the Marshall-Olkin extended family and Kumaraswamy-generalized family of distributions are proposed. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-06-01 |
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=S0001-37652015000200539 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000200539 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/0001-3765201520140299 |
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.87 n.2 2015 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 |
_version_ |
1754302860753895424 |