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.

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...