Open AccessA New Generating Family of Distributions: Properties and Applications to the Weibull Exponential Model
Author(s) -
El-Sayed A. El-Sherpieny,
Salwa M. Assar,
Tamer S. Helal
Publication year - 2021
Publication title -
journal of modern applied statistical methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 28
ISSN - 1538-9472
DOI - 10.22237/jmasm/1608553740
Subject(s) - weibull distribution , mathematics , exponential family , quantile , natural exponential family , exponential function , hazard , quantile function , statistics , exponential distribution , exponentiated weibull distribution , hazard ratio , maximum likelihood , function (biology) , flexibility (engineering) , cumulative distribution function , econometrics , probability density function , confidence interval , mathematical analysis , chemistry , organic chemistry , evolutionary biology , biology
A new method for generating family of distributions was proposed. Some fundamental properties of the new proposed family include the quantile, survival function, hazard rate function, reversed hazard and cumulative hazard rate functions are provided. This family contains several new models as sub models, such as the Weibull exponential model which was defined and discussed its properties. The maximum likelihood method of estimation is using to estimate the model parameters of the new proposed family. The flexibility and the importance of the Weibull-exponential model is assessed by applying it to a real data set and comparing it with other known models.