Family of bivariate distributions on the unit square : theoretical properties and applications

Vila Gabriel, Roberto; Balakrishnan, Narayanaswamy; Santos, Helton Saulo Bezerra dos; Zörnig, Peter

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Vila Gabriel, Roberto	-
dc.contributor.author	Balakrishnan, Narayanaswamy	-
dc.contributor.author	Santos, Helton Saulo Bezerra dos	-
dc.contributor.author	Zörnig, Peter	-
dc.date.accessioned	2024-05-29T14:56:02Z	-
dc.date.available	2024-05-29T14:56:02Z	-
dc.date.issued	2023-07-07	-
dc.identifier.citation	VILA, Roberto et al. Family of bivariate distributions on the unit square: theoretical properties and applications. Journal of Applied Statistics, p. 1-27, 2023. DOI: https://doi.org/10.1080/02664763.2023.2232127. Disponível em: https://www.tandfonline.com/doi/full/10.1080/02664763.2023.2232127. Acesso em: 29 maio 2023.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/48144	-
dc.language.iso	eng	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Family of bivariate distributions on the unit square : theoretical properties and applications	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Modelos log-simétricos bidimensionais	pt_BR
dc.subject.keyword	Análise estatística	pt_BR
dc.subject.keyword	Método de máxima verossimilhança	pt_BR
dc.identifier.doi	https://doi.org/10.1080/02664763.2023.2232127	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/full/10.1080/02664763.2023.2232127	pt_BR
dc.description.abstract1	We introduce the bivariate unit-log-symmetric model based on the bivariate log-symmetric distribution (BLS) defined in Vila et al. [Citation25] as a flexible family of bivariate distributions over the unit square. We then study its mathematical properties such as stochastic representations, quantiles, conditional distributions, independence of the marginal distributions and marginal moments. Maximum likelihood estimation method is discussed and examined through Monte Carlo simulation. Finally, the proposed model is used to analyze some soccer data sets.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1073-0114	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0001-5842-8892	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-4467-8652	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-1094-3972	pt_BR
dc.contributor.affiliation	University of Brasília, Department of Statistics	pt_BR
dc.contributor.affiliation	McMaster University, Department of Mathematics and Statistics, Hamilton, Canada	pt_BR
dc.contributor.affiliation	McMaster University, Department of Mathematics and Statistics, Hamilton, Canada	pt_BR
dc.contributor.affiliation	University of Brasília, Department of Statistics	pt_BR
dc.contributor.affiliation	University of Texas at Arlington, Department of Mathematics	pt_BR
dc.contributor.affiliation	University of Brasília, Department of Statistics	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Estatística (IE EST)	pt_BR
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