The Pareto classical distribution is one of the most attractive in statistics and particularly in the scenario of actuarial statistics and finance. For example, it is widely used when calculating reinsurance premiums. In the last years, many alternative distributions have been proposed to obtain...

Wilks' lambda and the corresponding Wilks' distribution are well known concepts in testing in multivariate regression models. The topic of this paper is a generalization of the Wilks distribution. This generalized Wilks' distribution is relevant for testing in multivariate regression models with...

In this paper, the two-parameter Akash distribution is generalized to size-biased twoparameter Akash distribution (SBTPAD). A further modification to SBTPAD is introduced, creating the power size-biased two-parameter Akash distribution (PSBTPAD). Several statistical properties of PSBTPAD...

A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and...

This paper presents some properties and limitations of the Tukey's g and h family of distributions. It develops the density function when the parameters g and h are not constant, which is a major breakthrough considering the recurrence of this in the applications of the behaviour of...

The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the...