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 ...

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 ...

Forecasting for any small business involves guesswork. You know your business and its past performance, but you may not be comfortable predicting the future. Using Excel is a great way to perform what ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...