The exponentiated generalized extended exponential distribution

dc.contributor.authorAndrade, Thiago A. N. de
dc.contributor.authorBourguignon, Marcelo
dc.contributor.authorCordeiro, Gauss M.
dc.date.accessioned2022-10-31T20:25:06Z
dc.date.available2022-10-31T20:25:06Z
dc.date.issued2016
dc.description.resumoWe introduce and study a new four-parameter lifetime model named the exponentiated generalized extended exponential distribution. The proposed model has the advantage of including as special cases the exponential and exponentiated exponential distributions, among others, and its hazard function can take the classic shapes: bathtub, inverted bathtub, increasing, decreasing and constant, among others. We derive some mathematical properties of the new model such as a representation for the density function as a double mixture of Erlang densities, explicit expressions for the quantile function, ordinary and incomplete moments, mean deviations, Bonferroni and Lorenz curves, generating function, R´enyi entropy, density of order statistics and reliability. We use the maximum likelihood method to estimate the model parameters. Two applications to real data illustrate the flexibility of the proposed model.pt_BR
dc.identifier.citationANDRADE, T. et al. The exponentiated generalized extended exponential distribution. Journal of Data Science, v. 14, p. 393-414, 2016. Disponível em:https://www.researchgate.net/publication/303208805_The_exponentiated_generalized_extended_exponential_distribution, Acesso em: 07 dez. 2017pt_BR
dc.identifier.issn1680-743X
dc.identifier.urihttps://repositorio.ufrn.br/handle/123456789/49655
dc.languageenpt_BR
dc.publisherJournal of Data Sciencept_BR
dc.rightsAcesso Abertopt_BR
dc.subjectErlang distributionpt_BR
dc.subjectExtended exponential distributionpt_BR
dc.subjectHazard rate functionpt_BR
dc.subjectLifetime distributionpt_BR
dc.subjectMomentspt_BR
dc.titleThe exponentiated generalized extended exponential distributionpt_BR
dc.typearticlept_BR

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