Following the recent paper by Gupta et al. (Some skew-symmetric models. Random Operators Stochastic Equations 10 (2002) 133) we generate skew probability density functions (pdfs) of the form 2f(u)G([lambda]u), where f is taken to be a normal pdf while the cumulative distributive function G is...

A method of calculating moments of distributions of limit points of certain procedures for iterated random subdivision of finite intervals is applied to some specific examples. Since the ranges of these distributions are finite, the moments, in principle determine the limit distributions....

In this note, we present some relationships between moments, central moments and cumulants from multivariate distributions. Recently, Smith (1995) presented four simple recursive formulas that translate moments to cumulants and vice versa. Here, we derive similar recursive formulas between the...

The purpose of this note is to clarify certain ambiguities in definition of failure rate of discrete distributions in a paper by Nair and Hitha (1989) and to suggest a possible bivariate extension of renewal (partial sum) distributions.

Motivated by our investigations of refinements of the project evaluation and review technique (PERT), we have developed a reparameterization of the asymmetric Laplace distribution and found it to be a useful tool for extending and improving various three-point approximations of continuous...

As an example of distributions constructed by simple, piecewise uniform modifications of a uniform distribution on the unit ([0,1]2) square, the authors present square tray distributions. These distributions are even simpler than those studied earlier (Johnson and Kotz, 1998. Nicked and Notched...

We note that the Kotz type distribution in the class of elliptical distributions can be interpreted as being generated by the Weibull or Type III extreme value distribution. Based on this observation, we develop two new elliptical distributions based on the Type I and Type II extreme value...

Square tray distributions have been studied by Johson and Kotz (Statist. Probab. Lett. 42 (1999) 157). As an extension, multiple square tray distributions are considered in this paper. These distributions are simple in the sense that there are only three different levels of the probability...

We consider a general two-color urn model characterized by a 2x2 matrix of integerswithout constraints on the values of these four integers other than non-negativity. Exact distributions of the number of balls of a specific color that appear after n draws are presented. Via Poissonization, we...

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]...