1. A novel flexible T-X family for generating new distributions with applications to lifetime data
- Author
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Najma Salahuddin, Alamgir, Muhammad Azeem, Sundus Hussain, and Musarrat Ijaz
- Subjects
T-X distribution family ,Half-logistic distribution ,Transmutation map approach ,Moments ,Maximum likelihood estimation ,Science (General) ,Q1-390 ,Social sciences (General) ,H1-99 - Abstract
In recent decades, many research studies have been conducted for the development of some new modifications of different baseline distributions to cope with real-world problems. This paper proposes a novel generalization of probability distributions, called modified type- II half-logistic distribution. We have derived the new family of probability distributions using T-X family with input as a type II variant of the half-logistic distribution. For the purpose of demonstration, the Weibull distribution is considered as a sub-model. Various algebraic properties of the suggested distribution have been discussed. For efficient parameter estimation, we have used the maximum likelihood principle. Additionally, two real-world data sets from the literature have been considered to illustrate the practical usefulness and significance of the suggested model.
- Published
- 2024
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