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...

A mathematical expression known as Benford's law provides an example of an unexpected relationship among randomly selected first significant digits (FSD). Newcomb (1881), and later Benford (1938), conjectured that FSDs would exhibit a weakly monotonic distribution and proposed a frequency...

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...

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 generalized asymmetric Laplace (GAL) distribution, also known as the variance/mean-gamma model, is a popular flexible class of distributions that can account for peakedness, skewness, and heavier than normal tails, often observed in financial or other empirical data. We consider extensions...