A new four-parameter extension of Burr-XII distribution: its properties and applications

被引：0

作者：

Laba Handique

Subrata Chakraborty

机构：

[1] Dibrugarh University,Department of Statistics

来源：

Japanese Journal of Statistics and Data Science | 2018年 / 1卷 / 2期

关键词：

Generalized Marshall–Olkin family; AIC; BIC; Anderson–Darling; Cram′er–von Mises; Likelihood ratio test;

D O I：

10.1007/s42081-018-0016-4

中图分类号：

学科分类号：

摘要：

A new four-parameter flexible extension of the Burr-XII distribution is proposed. A genesis for this distribution is presented. Some well-known distributions are shown as special and related cases. Linear expansions for survival and density functions, moment-generating function, ordinary moments, incomplete moments, quantile function, stochastic orderings and stress–strength reliability are investigated. The proposed distribution is compared with its submodels and some existing generalizations of Burr-XII for modeling five real-life data sets estimating parameters by maximum likelihood method. In all the examples, the proposed model is found to be the best one in terms of different goodness-of-fit tests as well as model selection criteria.

引用

页码：271 / 296

页数：25

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