The Type II Topp Leone-Power Lomax Distribution with Analysis in Lifetime Data

In this article, a new distribution, namely the type II Topp Leone-power Lomax (TIITL-PL) distribution, is proposed. Some statistical properties of the proposed distribution are derived including the survival function, hazard rate function, quantile function, moments, moment-generating function, the density function of order statistics, Lorenz curve and Bonferroni curve. The proposed distribution has a special submodel, that is, the type II Topp Leone-Lomax distribution. The maximum likelihood method is employed for model parameter estimation. For application study, the goodness-of-fit study is presented to illustrate the ability of the proposed model to fit various types of real data sets. The result shows that the TIITL-PL model is a flexible alternative to fit and analysis of lifetime data.