In this paper, we establish some results on strong convergence for sums and weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in

It is already known, under certain conditions including stochastic inequalities, the comparison of moments. In this paper, we will study in detail the reverse of this problem, that is, the stochastic orderings implied by moments inequalities. We will limit our study to the absolute value of...

The exact distribution of a linear combination with positive coefficients of inverted chi-square variables with odd degrees of freedom is derived. This distribution function could be expressed as another linear combination of distribution functions of chi-square random variables

Let , ,…, be a sequence of independent random variables, let be a rearrangement invariant space on the underlying probability space, and let be a symmetric sequence space. This paper gives an approximate formula for the quantity whenever embeds into for some 1 ≤ ∞. This extends work of...

We consider possible measures of dependence for two symmetric alpha-stable (SαS) random variables. Some results are given which enlighten a few deficiencies of these measures. We propose a new measure which partially solve these problems. The results are illustrated by simulations

An exact algorithm for generating two positively correlated Beta-distributed random variables is provided. The paired Beta-distributed random variables are generated from ratios of independent standard Gamma distributions. A positive correlation is achieved by introducing two shared standard...

The Lerch family of three-parameter, discrete univariate distributions includes as special cases the well known Zipf, Zipf-Mandelbrot, and Good distributions that are used as models in ecology, linguistics, information science, and statistical physics. The Lerch distribution was originally...

Linear Programming model is an important tool used to solve constrained optimization problems. In fact, the real life problems are usually occurring in the presence of uncertainty. For instance, in managerial problems of assigning employees to different tasks with the aim of minimizing the total...