Open AccessOn the T-X Class of Topp Leone-G Family of Distributions: Statistical Properties and Applications
Author(s) -
Femi Samuel Adeyinka
Publication year - 2021
Publication title -
european journal of statistics
Language(s) - English
Resource type - Journals
ISSN - 2806-0954
DOI - 10.28924/ada/stat.2.2
Subject(s) - mathematics , exponential family , natural exponential family , quantile function , statistics , exponential distribution , moment generating function , lorenz curve , order statistic , exponential function , probability density function , stochastic ordering , survival function , mathematical analysis , survival analysis , gini coefficient , economic inequality , inequality
This article investigates the T-X class of Topp Leone- G family of distributions. Some members of the new family are discussed. The exponential-Topp Leone-exponential distribution (ETLED) which is one of the members of the family is derived and some of its properties which include central and non-central moments, quantiles, incomplete moments, conditional moments, mean deviation, Bonferroni and Lorenz curves, survival and hazard functions, moment generating function, characteristic function and R`enyi entropy are established. The probability density function (pdf) of order statistics of the model is obtained and the parameter estimation is addressed with the maximum likelihood method (MLE). Three real data sets are used to demonstrate its application and the results are compared with two other models in the literature.