PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1515/ms-2017-0426 http://hdl.handle.net/11449/208847 |
Resumo: | In this paper, a bivariate extension of exponentiated Frechet distribution is introduced, namely a bivariate exponentiated Frechet (BvEF) distribution whose marginals are univariate exponentiated Frechet distribution. Several properties of the proposed distribution are discussed, such as the joint survival function, joint probability density function, marginal probability density function, conditional probability density function, moments, marginal and bivariate moment generating functions. Moreover, the proposed distribution is obtained by the Marshall-Olkin survival copula. Estimation of the parameters is investigated by the maximum likelihood with the observed information matrix. In addition to the maximum likelihood estimation method, we consider the Bayesian inference and least square estimation and compare these three methodologies for the BvEF. A simulation study is carried out to compare the performance of the estimators by the presented estimation methods. The proposed bivariate distribution with other related bivariate distributions are fitted to a real-life paired data set. It is shown that, the BvEF distribution has a superior performance among the compared distributions using several tests of goodness of fit. (C) 2020 Mathematical Institute Slovak Academy of Sciences |
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Repositório Institucional da UNESP |
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PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTIONCopulaexponentiated Frechet distributionmaximum likelihood estimatorsFisher information matrixBayesian inferenceleast squares methodIn this paper, a bivariate extension of exponentiated Frechet distribution is introduced, namely a bivariate exponentiated Frechet (BvEF) distribution whose marginals are univariate exponentiated Frechet distribution. Several properties of the proposed distribution are discussed, such as the joint survival function, joint probability density function, marginal probability density function, conditional probability density function, moments, marginal and bivariate moment generating functions. Moreover, the proposed distribution is obtained by the Marshall-Olkin survival copula. Estimation of the parameters is investigated by the maximum likelihood with the observed information matrix. In addition to the maximum likelihood estimation method, we consider the Bayesian inference and least square estimation and compare these three methodologies for the BvEF. A simulation study is carried out to compare the performance of the estimators by the presented estimation methods. The proposed bivariate distribution with other related bivariate distributions are fitted to a real-life paired data set. It is shown that, the BvEF distribution has a superior performance among the compared distributions using several tests of goodness of fit. (C) 2020 Mathematical Institute Slovak Academy of SciencesKohat Univ Sci & Technol, Inst Numer Sci, Kohat 26000, PakistanTanta Univ, Fac Sci, Dept Math, Tanta, EgyptState Univ Sao Paulo, Dept Stat, Sao Paulo, BrazilState Univ Sao Paulo, Dept Stat, Sao Paulo, BrazilWalter De Gruyter GmbhKohat Univ Sci & TechnolTanta UnivUniversidade Estadual Paulista (Unesp)Saboor, AbdusBakouch, Hassan S.Moala, Fernando A. [UNESP]Hussain, Sheraz2021-06-25T11:22:19Z2021-06-25T11:22:19Z2020-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1211-1230http://dx.doi.org/10.1515/ms-2017-0426Mathematica Slovaca. Berlin: Walter De Gruyter Gmbh, v. 70, n. 5, p. 1211-1230, 2020.0139-9918http://hdl.handle.net/11449/20884710.1515/ms-2017-0426WOS:000576367800016Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematica Slovacainfo:eu-repo/semantics/openAccess2022-02-14T22:47:29Zoai:repositorio.unesp.br:11449/208847Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:04:46.343476Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
title |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
spellingShingle |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION Saboor, Abdus Copula exponentiated Frechet distribution maximum likelihood estimators Fisher information matrix Bayesian inference least squares method |
title_short |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
title_full |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
title_fullStr |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
title_full_unstemmed |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
title_sort |
PROPERTIES AND METHODS OF ESTIMATION FOR A BIVARIATE EXPONENTIATED FRECHET DISTRIBUTION |
author |
Saboor, Abdus |
author_facet |
Saboor, Abdus Bakouch, Hassan S. Moala, Fernando A. [UNESP] Hussain, Sheraz |
author_role |
author |
author2 |
Bakouch, Hassan S. Moala, Fernando A. [UNESP] Hussain, Sheraz |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Kohat Univ Sci & Technol Tanta Univ Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Saboor, Abdus Bakouch, Hassan S. Moala, Fernando A. [UNESP] Hussain, Sheraz |
dc.subject.por.fl_str_mv |
Copula exponentiated Frechet distribution maximum likelihood estimators Fisher information matrix Bayesian inference least squares method |
topic |
Copula exponentiated Frechet distribution maximum likelihood estimators Fisher information matrix Bayesian inference least squares method |
description |
In this paper, a bivariate extension of exponentiated Frechet distribution is introduced, namely a bivariate exponentiated Frechet (BvEF) distribution whose marginals are univariate exponentiated Frechet distribution. Several properties of the proposed distribution are discussed, such as the joint survival function, joint probability density function, marginal probability density function, conditional probability density function, moments, marginal and bivariate moment generating functions. Moreover, the proposed distribution is obtained by the Marshall-Olkin survival copula. Estimation of the parameters is investigated by the maximum likelihood with the observed information matrix. In addition to the maximum likelihood estimation method, we consider the Bayesian inference and least square estimation and compare these three methodologies for the BvEF. A simulation study is carried out to compare the performance of the estimators by the presented estimation methods. The proposed bivariate distribution with other related bivariate distributions are fitted to a real-life paired data set. It is shown that, the BvEF distribution has a superior performance among the compared distributions using several tests of goodness of fit. (C) 2020 Mathematical Institute Slovak Academy of Sciences |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-10-01 2021-06-25T11:22:19Z 2021-06-25T11:22:19Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1515/ms-2017-0426 Mathematica Slovaca. Berlin: Walter De Gruyter Gmbh, v. 70, n. 5, p. 1211-1230, 2020. 0139-9918 http://hdl.handle.net/11449/208847 10.1515/ms-2017-0426 WOS:000576367800016 |
url |
http://dx.doi.org/10.1515/ms-2017-0426 http://hdl.handle.net/11449/208847 |
identifier_str_mv |
Mathematica Slovaca. Berlin: Walter De Gruyter Gmbh, v. 70, n. 5, p. 1211-1230, 2020. 0139-9918 10.1515/ms-2017-0426 WOS:000576367800016 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematica Slovaca |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1211-1230 |
dc.publisher.none.fl_str_mv |
Walter De Gruyter Gmbh |
publisher.none.fl_str_mv |
Walter De Gruyter Gmbh |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128604925591552 |