Type II half logistic Ailamujia distribution with numerical illustrations to medical data

In this article, we discuss a new two-parameter distribution called the type II half-logistic Ailamujia distribution, which is formulated from the type II half-logistic-G family and Ailamujia distribution. Several statistical characteristics for the type II half logistic Ailamujia distribution were computed, such as moments, moment-generating functions, probability weighted moments, incomplete moments, conditional moments, mean deviation, Lorenz and Bonferroni curves, mean residual life, mean inactivity time, and order statistics. Several uncertainty measures were computed and discussed theoretically and numerically. Moreover, the maximum likelihood estimation method is employed for the type II half-logistic Ailamujia distribution to estimate its two parameters. A thorough numerical analysis was carried out to evaluate the maximum likelihood strategy of the estimation's efficacy. The practicality and significance of a recently created model can be established by examining two real datasets. The type II half-logistic Ailamujia distribution is compared to numerous well-known statistical distributions such as Ailamujia, exponentiated Ailamujia, exponentiated exponential, gamma, and generalized Lindley models by utilizing different metrics. The numerical findings revealed that the type II half-logistic Ailamujia model suited the data better than the other competing models.