Inverse Exponential Logistical Distribution Lehmann Type II: Application to Right Censored Data

In this article, we introduce a new continuous probability distribution called the Inverse Exponential Logistic Lehmann Type II distribution, derived from the Lehmann Type II alternative. The main objective is to apply this new distribution to survival analysis, specifically with right-censored data. We discuss various properties of the proposed distribution, including quantiles, skewness, kurtosis, moments, order statistics, and Rényi entropy. The distribution exhibits a hazard rate function with different shapes depending on the parameter values. Simulation studies were conducted to evaluate the performance of maximum likelihood estimates under a right censoring scheme. Finally, we illustrate the usefulness and flexibility of the proposed distribution by applying it to two real datasets and comparing its performance with that of other distributions.