This paper is concerned with the determination of tight lower and upper bounds on the expectation of a convex function of a random variable. The classic bounds are those of Jensen and ...

A continuous random variable is a type of variable that can take on any value within a given range. Unlike discrete random variables, which have a countable number of outcomes, continuous random ...

The Annals of Probability, Vol. 36, No. 1 (Jan., 2008), pp. 143-159 (17 pages) It is shown that functions defined on {0, 1,..., r - 1}ⁿ satisfying certain conditions of bounded differences that ...

Abstract: With its inherent causal reasoning and superior capacity for handling uncertainty, the belief rule base (BRB) has been widely applied in complex systems modeling. As a generalization of ...

Abstract: Investigates the problem of inserting an additional hidden variable into a standard HMM. It is shown that this can be done by introducing a continuous feature which is used to calculate the ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...