The modified slash Lindley-Weibull distribution with applications to nutrition data

dc.creatorReyes, Jimmy
dc.creatorArrue, Jaime
dc.creatorVenegas, Osvaldo
dc.creatorGomez, Hector W.
dc.date2021
dc.date2021-10-04T18:44:47Z
dc.date2021-10-04T18:44:47Z
dc.date.accessioned2022-10-18T14:52:03Z
dc.date.available2022-10-18T14:52:03Z
dc.identifierJOURNAL OF APPLIED STATISTICS,Vol.,,2021
dc.identifierhttp://repositoriodigital.uct.cl/handle/10925/4230
dc.identifier10.1080/02664763.2021.1975661
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4443955
dc.descriptionThis work presents an extension of the slash Lindley-Weibull distribution, of which it can be considered a modification. The new family is obtained by using the quotient of two independent random variables: a two-parameter Lindley-Weibull distribution divided by a power of the exponential distribution with parameter equal to 2. We present the pdf and cdf of the new distribution, analyzing their risk functions. Some statistical properties are studied and the moments and coefficients of asymmetry and kurtosis are shown. The parameter estimation problem is carried out by the maximum likelihood method. The method is assessed by a Monte Carlo simulation study. We use nutrition data, which are characterized by high kurtosis, to illustrate the usefulness of the proposed model.
dc.languageen
dc.publisherTAYLOR & FRANCIS LTD
dc.sourceJOURNAL OF APPLIED STATISTICS
dc.subjectSlash Lindley-Weibull distribution
dc.subjectmoments
dc.subjectmaximum likelihood
dc.subjectregression
dc.titleThe modified slash Lindley-Weibull distribution with applications to nutrition data


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