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A random variable is one whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be discrete or continuous.

Magda Peligrad, Maximum of Partial Sums and an Invariance Principle for a Class of Weak Dependent Random Variables, Proceedings of the American Mathematical Society, Vol. 126, No. 4 (Apr., 1998), pp.

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 ...