A Power Maxwell Distribution with Heavy Tails and Applications

dc.creatorSegovia, Francisco A.
dc.creatorGomez, Yolanda M.
dc.creatorVenegas, Osvaldo
dc.creatorGomez, Hector W.
dc.date2020
dc.date2021-04-30T16:47:51Z
dc.date2021-04-30T16:47:51Z
dc.date.accessioned2021-06-14T22:05:08Z
dc.date.available2021-06-14T22:05:08Z
dc.identifierMATHEMATICS,Vol.8,,2020
dc.identifierhttp://repositoriodigital.uct.cl/handle/10925/3598
dc.identifier10.3390/math8071116
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3300158
dc.descriptionIn this paper we introduce a distribution which is an extension of the power Maxwell distribution. This new distribution is constructed based on the quotient of two independent random variables, the distributions of which are the power Maxwell distribution and a function of the uniform distribution (0,1) respectively. Thus the result is a distribution with greater kurtosis than the power Maxwell. We study the general density of this distribution, and some properties, moments, asymmetry and kurtosis coefficients. Maximum likelihood and moments estimators are studied. We also develop the expectation-maximization algorithm to make a simulation study and present two applications to real data.
dc.languageen
dc.publisherMDPI
dc.sourceMATHEMATICS
dc.subjectMaxwell distribution
dc.subjectslash distribution
dc.subjectkurtosis
dc.subjectmaximum likelihood
dc.subjectEM algorithm
dc.titleA Power Maxwell Distribution with Heavy Tails and Applications
dc.typeArticle


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