학술논문

The Harris-Topp-Leone-G family of distributions: properties and applications
Document Type
Article
Source
International Journal of Mathematics in Operational Research; 2023, Vol. 25 Issue: 2 p208-241, 34p
Subject
Language
ISSN
17575850; 17575869
Abstract
In this paper, we propose a new family of continuous distributions called the Harris-Topp-Leone-G (Harris-TL-G) family of distributions that extends the Topp-Leone-G family introduced by Al-Shomrani et al. (2016). Explicit expressions for certain statistical properties of the new family of distributions including quantile function, ordinary and incomplete moments, generating functions, Rényi entropy, distribution of order statistics, moment of residual and reversed residual life are derived. We discuss the maximum likelihood estimates for the model parameters. Three real datasets are used to illustrate the flexibility of the new family of distributions.