Generalized mixtures of Weibull components
Manuel Franco (),
Narayanaswamy Balakrishnan,
Debasis Kundu and
Juana-Maria Vivo
TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 23, issue 3, 515-535
Abstract:
Weibull mixtures have been used extensively in reliability and survival analysis, and they have also been generalized by allowing negative mixing weights, which arise naturally under the formation of some structures of reliability systems. These models provide flexible distributions for modeling dependent lifetimes from heterogeneous populations. In this paper, we study conditions on the mixing weights and the parameters of the Weibull components under which the considered generalized mixture is a well-defined distribution. Specially, we characterize the generalized mixture of two Weibull components. In addition, some reliability properties are established for these generalized two-component Weibull mixture models. One real data set is also analyzed for illustrating the usefulness of the studied model. Copyright Sociedad de Estadística e Investigación Operativa 2014
Keywords: Weibull distribution; Mixture model; Generalized mixture; Two-component mixture; Reliability; Failure rate; 62E10; 62N05 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:testjl:v:23:y:2014:i:3:p:515-535
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DOI: 10.1007/s11749-014-0362-x
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