Open AccessA new generalized transmuted weibull distribution: properties and applications
Author(s) -
Elebe Emmanuel Nwezza,
Uchenna U. Uwadi,
Chukwueneye I. Okonkwo
Publication year - 2022
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v9i1.31800
Subject(s) - weibull distribution , mathematics , order statistic , exponentiated weibull distribution , quantile function , quantile , log cauchy distribution , log logistic distribution , principle of maximum entropy , moment generating function , statistics , statistical physics , distribution (mathematics) , distribution fitting , exponential distribution , probability distribution , inverse chi squared distribution , mathematical analysis , physics
We introduce a new generalized transmuted-Weibull distribution and studied some of the mathematical characterizations of the new distribution. The quantile function, entropy, moment, moment generating function, and order statistics of the distribution are derived. The unknown parameters of the distribution were estimated through the maximum likelihood approach. The potential and flexibility of the new generalized transmuted-Weibull are illustrated by comparing it with other known distribution using real-life data sets.