On Some Properties of a New Truncated Model With Applications to Lifetime Data

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.