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 introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

The FactorGraph package provides the set of different functions to perform inference over the factor graph with continuous or discrete random variables using the belief propagation algorithm. A ...

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 ...

\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 ...

I read this really interesting paper over the break, where they had multiple analyst teams analyze the same data set and fit a model to answer the same question. This is a topic we’ve thought about a ...

is the generalized integro-exponential function [6]. In this paper we shall obtain joint distribution, distribution of product of two generalized order statistics from the Gompertz distribution, and ...