A NEW KUMARASWAMY GENERALIZED FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

被引：4

作者：

Hussain, Muhammad Adnan ^{[1
]}

Tahir, Muhammad Hussain ^{[1
]}

Cordeiro, Gauss M. ^{[2
]}

机构：

[1] Islamia Univ Bahawalpur, Dept Stat, Bahawalpur 63100, Pakistan

[2] Univ Fed Pernambuco, Dept Stat, BR-50740540 Recife, PE, Brazil

来源：

MATHEMATICA SLOVACA | 2020年 / 70卷 / 06期

关键词：

Burr-XII distribution; generalized family; Kumaraswamy-G family; maximum likelihood method; T-X family; BURR XII DISTRIBUTION; REGRESSION-MODEL; PARAMETER;

D O I：

10.1515/ms-2017-0429

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Kumaraswamy generalized family of distributions proposed by Cordeiro and de-Castro (2011), has received increased attention in modern distribution theory with 624 google citations, and more than 50 special models have been studied so far. We define another generator, and then propose a new Kumaraswamy generalized family of distributions by inducting this new generator. Some useful properties of the proposed family are obtained such as quantiles, linear representation of the density, moments and generating function. The method of maximum likelihood is used for estimating family parameters. The properties of a special model of the family, called new Kumaraswamy-Burr XII distribution, are reported. A simulation study is conducted to assess the performance of maximum likelihood estimates of the proposed model. Two real-life data sets are analyzed to illustrate the flexibility of proposed model. (C) 2020 Mathematical Institute Slovak Academy of Sciences

引用

页码：1491 / 1510

页数：20

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