A New Class of Exponentiated Beta-Skew-Laplace Distribution

Detalhes bibliográficos
Autor(a) principal: TOVAR-FALÓN,ROGER
Data de Publicação: 2022
Outros Autores: MARTÍNEZ-FLÓREZ,GUILLERMO
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=S0001-37652022000600301
Resumo: Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications.
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spelling A New Class of Exponentiated Beta-Skew-Laplace DistributionAsymmetrybeta-skew-Laplace distributioninformation matrixmaximum likelihood estimationmultimodalityAbstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications.Academia Brasileira de Ciências2022-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652022000600301Anais da Academia Brasileira de Ciências v.94 n.4 2022reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765202220191597info:eu-repo/semantics/openAccessTOVAR-FALÓN,ROGERMARTÍNEZ-FLÓREZ,GUILLERMOeng2022-10-21T00:00:00Zoai:scielo:S0001-37652022000600301Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2022-10-21T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv A New Class of Exponentiated Beta-Skew-Laplace Distribution
title A New Class of Exponentiated Beta-Skew-Laplace Distribution
spellingShingle A New Class of Exponentiated Beta-Skew-Laplace Distribution
TOVAR-FALÓN,ROGER
Asymmetry
beta-skew-Laplace distribution
information matrix
maximum likelihood estimation
multimodality
title_short A New Class of Exponentiated Beta-Skew-Laplace Distribution
title_full A New Class of Exponentiated Beta-Skew-Laplace Distribution
title_fullStr A New Class of Exponentiated Beta-Skew-Laplace Distribution
title_full_unstemmed A New Class of Exponentiated Beta-Skew-Laplace Distribution
title_sort A New Class of Exponentiated Beta-Skew-Laplace Distribution
author TOVAR-FALÓN,ROGER
author_facet TOVAR-FALÓN,ROGER
MARTÍNEZ-FLÓREZ,GUILLERMO
author_role author
author2 MARTÍNEZ-FLÓREZ,GUILLERMO
author2_role author
dc.contributor.author.fl_str_mv TOVAR-FALÓN,ROGER
MARTÍNEZ-FLÓREZ,GUILLERMO
dc.subject.por.fl_str_mv Asymmetry
beta-skew-Laplace distribution
information matrix
maximum likelihood estimation
multimodality
topic Asymmetry
beta-skew-Laplace distribution
information matrix
maximum likelihood estimation
multimodality
description Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
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=S0001-37652022000600301
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652022000600301
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765202220191597
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.94 n.4 2022
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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