Bias Reduction for the Marshall-Olkin Extended Family of Distributions with Application to an Airplane's Air Conditioning System and Precipitation Data

Simple item page
dc.contributor.authorMagalhaes, Tiago M.
dc.contributor.authorGomez, Yolanda M.
dc.contributor.authorGallardo, Diego, I
dc.contributor.authorVenegas, Osvaldo
dc.date2020
dc.date.accessioned2021-04-30T16:47:47Z
dc.date.available2021-04-30T16:47:47Z
dc.description.abstractThe Marshall-Olkin extended family of distributions is an alternative for modeling lifetimes, and considers more or less asymmetry than its parent model, achieved by incorporating just one extra parameter. We investigate the bias of maximum likelihood estimators and use it to develop an estimator with less bias than traditional estimators, by a modification of the score function. Unlike other proposals, in this paper, we consider a bias reduction methodology that can be applied to any member of the family and not necessarily to any particular distribution. We conduct a Monte Carlo simulation in order to study the performance of the corrected estimators in finite samples. This simulation shows that the maximum likelihood estimator is quite biased and the proposed estimator is much less biased; in small sample sizes, the bias is reduced by around 50 percent. Two applications, related to the air conditioning system of an airplane and precipitations, are presented to illustrate the results. In those applications, the bias reduction for the shape parameters is close to 25% and the bias reduction also reduces, among others things, the width of the 95% confidence intervals for quantiles lower than 0.594.
dc.identifier.citationSYMMETRY-BASEL,Vol.12,,2020
dc.identifier.doi10.3390/sym12050851
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/3523
dc.language.isoen
dc.publisherMDPI
dc.sourceSYMMETRY-BASEL
dc.subject.englishasymmetric distributions
dc.subject.englishbias correction
dc.subject.englishMarshall-Olkin extended family
dc.subject.englishmaximum likelihood estimators
dc.titleBias Reduction for the Marshall-Olkin Extended Family of Distributions with Application to an Airplane's Air Conditioning System and Precipitation Data
dc.typeArticle
uct.catalogadorWOS
uct.indizacionSCI
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
symmetry-12-00851.pdf
Size:
920.98 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
MigraciĆ³n Web of Science