The Lomax generator of distributions: Properties, minification process and regression model

摘要

We propose a new class of distributions called the Lomax generator with two extra positive parameters to generalize any continuous baseline distribution. Some special models such as the Lomax-normal, Lomax–Weibull, Lomax-log-logistic and Lomax–Pareto distributions are discussed. Some mathematical properties of the new generator including ordinary and incomplete moments, quantile and generating functions, mean and median deviations, distribution of the order statistics and some entropy measures are presented. We discuss the estimation of the model parameters by maximum likelihood. We propose a minification process based on the marginal Lomax-exponential distribution. We define a log-Lomax–Weibull regression model for censored data. The importance of the new generator is illustrated by means of three real data sets.