The topp-leone ailamujia distribution: properties and applications

Abstract EN

The Topp-Leone Ailamujia (TL-A) distribution is constructed as a new two-parameter lifetime model.

The proposed model's hazard rate function can be a bathtub or a reversed J-shaped.

A variety of statistical qualities and reliability features of the TL-A distribution have been investigated, including the moments, the moment generating function, incomplete moments, mean deviation, and the curves of Bonferroni and Lorenz.

The functions of mean residual life and mean inactive time are also taken into account.

The maximum likelihood procedure is highlighted for estimating the model parameters.

To check the behaviour of the estimates, Monte Carlo simulations are being performed.

Last, the novel model's efficiency is tested with a set of real data.