A NEW FAMILY OF THE CONTINUOUS DISTRIBUTIONS: THE EXTENDED WEIBULL-G FAMILY

被引：15

作者：

Korkmaz, Mustafa Cagatay ^{[1
]}

机构：

[1] Artvin Coruh Univ, Dept Measurement & Evaluat, TR-08000 Artvin, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Weibull distribution; extended Weibull distribution; generalized family; Weibull-G family; extended Weibull-G family; bi-modality; PARAMETER;

D O I：

10.31801/cfsuasmas.451602

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present a new family of continuous distributions via an extended form of the Weibull distribution. Some special members of the newly de.ned family are discussed and the new univariate continuous distributions are introduced. The mathematical properties are obtained for any members of the family such as expansions of the density, hazard rate function, quantile function, moments and order statistics. We obtain the distribution parameters by maximum likelihood method. The simulation study to evaluate the performance of the estimated parameters based on the selected member of the this new family is also given. The lifetime data example is discussed to illustrate the applicability of the distribution.

引用

页码：248 / 270

页数：23

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