A Lifetime Regression Analysis with Unit Lindley-Weibull Distribution

Abstract

In this paper, a new lifetime distribution is introduced. Motivation is provided to obtain this distribution. The closed-form expressions of probability density and cumulative distribution functions are provided. Several distributional properties are obtained and the statistical inference are discussed on unknown parameters. The most important novelty of this study is to bring a lifetime regression analysis with the re-parameterized log-transform of the new distribution.