A Compound Class of Inverse-Power Muth and Power Series Distributions

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dc.contributor.authorBarrios Blanco, Leonardo
dc.contributor.authorGallardo, Diego I.
dc.contributor.authorGomez, Hector J.
dc.contributor.authorBourguignon, Marcelo
dc.date2023
dc.date.accessioned2023-06-08T15:48:12Z
dc.date.available2023-06-08T15:48:12Z
dc.description.abstractThis paper introduces the inverse-power Muth power series model, which is a composition of the inverse-power Muth and the class of power series distributions. The use of the Bell distribution in this context is emphasized for the first time in the literature. Probability density, survival and hazard functions are studied, as well as their moments. Using the stochastic representation of the model, the maximum-likelihood estimators are implemented by the use of the expectation-maximization algorithm, while standard errors are calculated using Oakes' method. Monte Carlo simulation studies are conducted to show the performance of the maximum-likelihood estimators in finite samples. Two applications to real datasets are shown, where our proposal is compared with some models based on power series compositions.
dc.identifier.citationAXIOMS,Vol.12,,2023
dc.identifier.doi10.3390/axioms12040383
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5274
dc.language.isoen
dc.publisherMDPI
dc.sourceAXIOMS
dc.subject.englishEM algorithm
dc.subject.englishinverse-power Muth distribution
dc.subject.englishlikelihood
dc.subject.englishpower series distribution
dc.titleA Compound Class of Inverse-Power Muth and Power Series Distributions
dc.typeArticle
uct.indizacionSCI
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