Bias Reduction of Maximum Likelihood Estimates for an Asymmetric Class of Power Models with Applications

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datacite.alternateIdentifier.citationREVSTAT-STATISTICAL JOURNAL,Vol.21,491-507,2023
datacite.alternateIdentifier.doi10.57805/revstat.v21i4.431
datacite.creatorGomez, Yolanda M.
datacite.creatorSantos, Bruno
datacite.creatorGallardo, Diego, I
datacite.creatorVenegas, Osvaldo
datacite.creatorGomez, Hector W.
datacite.date2023
datacite.subject.englishUMVUE
datacite.subject.englishFirth's method
datacite.subject.englishexponentiated exponential model
datacite.subject.englishpower half-normal model
datacite.titleBias Reduction of Maximum Likelihood Estimates for an Asymmetric Class of Power Models with Applications
dc.date.accessioned2024-05-27T18:27:22Z
dc.date.available2024-05-27T18:27:22Z
dc.description.abstractIn this paper we study some methods to reduce the bias for maximum likelihood estimation in the general class of alpha power models, specifically for the shape parameter. We find the modified maximum likelihood estimator using Firth's method and we show that this estimator is the uniformly minimum variance unbiased estimator (UMVUE) in this class. We consider three special cases of this class, namely the exponentiated exponential (EE), the power half -normal and the power piecewise exponential models. We compare the bias in simulation studies and find that the modified method is definitely superior, especially for small sample sizes, in both the bias and the root mean squared error. We illustrate our modified estimator in four real data set examples, in each of which the modified estimates better explain the variability.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5794
dc.language.isoen
dc.publisherINST NACIONAL ESTATISTICA-INE
dc.sourceREVSTAT-STATISTICAL JOURNAL
oaire.resourceTypeWOS
oaire.resourceType.enArticle
uct.indizacionSCI
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