Open AccessOn Some Properties of a New Truncated Model With Applications to Lifetime Data
Author(s) -
Muhammad Arshad,
Oluwafemi Samson Balogun,
Muhammad Zafar Iqbal,
Pelumi E. Oguntunde
Publication year - 2022
Publication title -
international journal of analysis and applications
Language(s) - English
Resource type - Journals
ISSN - 2291-8639
DOI - 10.28924/2291-8639-20-2022-23
Subject(s) - mathematics , weibull distribution , quantile function , log logistic distribution , lorenz curve , log cauchy distribution , statistics , distribution (mathematics) , beta distribution , power function , order statistic , bounded function , probability distribution , cumulative distribution function , moment generating function , inverse chi squared distribution , probability density function , mathematical analysis , distribution fitting , gini coefficient , inequality , economic inequality
This research explored the exponentiated left truncated power distribution which is a bounded model. Various statistical properties which include the moments and their associated measures, Bonferroni and Lorenz curves, reliability measures, shapes, quantile function, entropy, and order statistics were discussed in detail. A simulation study was provided and applications to two real-world data were considered. The performance of the exponentiated left truncated power distribution over other bounded models like Topp-Leone distribution, Beta distribution, Kumaraswamy distribution, Lehmann type–I distribution, Lehmann type–II distribution, generalized power function, Weibull power function, and Mustapha type–II distribution is quite commendable.