This paper introduces a new rich family of distributions based on mixtures and the so-called Marshall-Olkin family of distributions.It includes a wide variety of well-established mixture distributions,ensuring a high ability for data fitting.Some distributional properties are derived for the general family.The Weibull distribution is then considered as the base-line,exhibiting a pliant four-parameter lifetime distribution.Five estimation methods for the related parameters are discussed.Bootstrap confidence intervals are also considered for these parameters.The distribution is reparametrized with location-scale parameters and it is used for a lifetime regression analysis.An extensive simulation is carried out on the esti-mation methods for distribution parameters and regression model parameters.Applications are given to two practical data sets to illustrate the applicability of the new family.

Christophe Chesneau;Kadir Karakaya;Hassan S.Bakouch;Co?kun Ku?

LMNO,Université de Caen,Campus Ⅱ,Science 3,14032 Caen,France;Department of Statistics,Faculty of Science,Sel?uk University,42250 Konya,Turkey;Department of Mathematics,Faculty of Science,Tanta University,Tanta,Egypt

应用数学与计算数学学报

[1]Christophe Chesneau;Kadir Karakaya;Hassan S.Bakouch;Co?kun Ku?-.An Alternative to the Marshall-Olkin Family of Distributions:Bootstrap,Regression and Applications)[J].应用数学与计算数学学报,2022(04):1229-1257

pliant,reparametrized

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