Fuzzy statistics and random variables represent a progressive fusion of traditional probability theory with the principles of fuzzy logic, enabling the treatment of imprecision and vagueness inherent ...

Abstract: In this chapter, we first introduce the joint statistical behavior of multiple random variables, and then the focus turns toward the marginal and conditional cdfs, pdfs, and pmfs. In the ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

You do not have access to this resource. This article deals with the problem of the statistical testing of random variables collected from measurements or simulations. The calculation of the average ...

This note suggests that expressing a distribution function as a mixture of suitably chosen distribution functions leads to improved methods for generating random variables in a computer. The idea is ...

This is a preview. Log in through your library . Abstract Users of small and personal computers do not have access to the libraries of generators of random variables provided by experts which have ...

\item We use a capital letter, like $X$, to denote a random variable \item The values of a random variable are denoted with a lowercase letter, in this case $x$ \item ...

ABSTRACT: In this paper, the complete convergence and weak law of large numbers are established for ρ-mixing sequences of random variables. Our results extend and improve the Baum and Katz complete ...

ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a ...