Many distributions have been used as lifetime models. In this article, we propose a new threeparameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, decreasing, bathtub, and upsidedown bathtub. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete momen...

In this article, we introduce a new generalized family of Esscher transformed Laplace distribution, namely the Kumaraswamy distribution. We study various properties distribution including survival function, hazard rate cumulative function and reverse function. The parameters are estimated using maximum likelihood method estimation. A real application on breaking stress carbon fibres is also con...

A new family of distributions called the mixture exponentiated Kumaraswamy-G (henceforth, in short, ExpKum-G) class is developed. We consider Weibull distribution as baseline (G) to propose and study this special sub-model, which we call Kumaraswamy distribution. Several useful statistical properties proposed ExpKum-G are derived. Under classical paradigm, maximum likelihood estimation under pr...

This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entrop...

In this paper, we introduce and study a new extension of Lomax distribution with four-parameter named as the Marshall–Olkin alpha power (MOAPL) distribution. Some statistical properties are discussed. Maximum likelihood estimation (MLE), maximum product spacing (MPS) least Square (LS) method for MOAPL parameters A numerical using real data analysis Monte-Carlo simulation performed to compare be...

One of the important features generalized distribution is its ability and flexibility to model real-life data in several applied fields such as medicine, engineering, survival analysis, among others. In this paper, a flexible four-parameter Lomax extension called alpha-power power-Lomax (APPLx) introduced. The APPLx analytically tractable, it can be used quite effectively for analysis. Key math...