A Bivariate Power Lindley Survival Distribution

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dc.contributor.authorGuillermo Martínez Flórez
dc.contributor.authorBarry C. Arnold
dc.contributor.authorHéctor W. Gómez
dc.date.accessioned2026-03-25T13:08:12Z
dc.date.available2026-03-25T13:08:12Z
dc.date.issued2024
dc.description.abstractWe introduce and investigate the properties of new families of univariate and bivariate distributions based on the survival function of the Lindley distribution. The univariate distribution,to reflect the nature of its construction, is called a power Lindley survival distribution. The basic distributional properties of this model are described. Maximum likelihood estimates of the parameters of the distribution are studied and the corresponding information matrix is identified. A bivariate power Lindley survival distribution is introduced using the technique of conditional specification.The corresponding joint density and marginal and conditional densities are derived. The product moments of the distribution are obtained, together with bounds on the range of correlations that can be exhibited by the model. Estimation of the parameters of the model is implemented by maximizing the corresponding pseudo-likelihood function. The asymptotic variance–covariance matrix of these estimates is investigated. A simulation study is performed to illustrate the performance of these parameter estimates. Finally some examples of model fitting using real-world data sets are described
dc.description.sponsorshipFCB-03-23. Universidad de Córdoba, Colombia. SEMILLERO UA-2024 y PUENTE UA, Chile.
dc.identifier.doi10.3390/math12213334
dc.identifier.issn22277390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/675
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.titleA Bivariate Power Lindley Survival Distribution
dc.typeArticle
oaire.citation.volume12
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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