Distribuição logística exponencial inversa Lehmann tipo II: modelo de regressão e aplicação a dados censurados à direita

Abstract

In this academic work, a new continuous probability distribution with support in R+ is introduced, called Inverse Exponential Logistic Lehmann type II, obtained from Lehmann type II alternative. The main purpose of this work is to apply the new distribution obtained in the context of survival analysis, and to obtain a log-linear regression structure for right-censored data. We discuss the main properties of the new distribution such as quantiles, asymmetry, kurtosis, moments, order statistics and Rényi entropy. The new distribution has a risk rate function that assumes different behaviors according to the associated parameters. Simulation studies were carried out to evaluate the performance of the estimates obtained via the maximum likelihood method. To illustrate the applicability of the new distribution, real data sets were used.