Linnik distribution with the characteristic function [phi][alpha](t)=1/(1+t[alpha]), 0[alpha]2, is shown to possess the following property. Let X[alpha],X[beta] be random variables possessing the Linnik distribution with parameters [alpha] and [beta] respectively (0 [alpha] [beta]...

In this paper, we introduce center-similar multivariate distributions (CSDs) based on the vertical density representation theory. A number of families of CSDs are constructed and related statistical problems are briefly examined.

Most commonly used parametric models for the size distribution of incomes possess only a few finite moments, and hence cannot be characterized by the sequence of their moments. However, all income distributions with a finite mean can be characterized by the sequence of first moments of the order...

Purchase frequency modeling began with the pioneering work of Ehrenberg [Ehrenberg, A.S.C., 1959. The pattern of consumer purchases. Applied Statistics 8, 26-41]. This note provides an extension of this work. A collection of some seventeen flexible distributions is discussed for purchase...