Arakelian, V.; Papathanasiou, V. - In: Statistics & Probability Letters 69 (2004) 4, pp. 447-450
A well-known bound for the absolute value of the mean a function g(X) of a random variable X,E(g(X)), is . Here, we use a sharper bound of Cauchy's inequality, proved by Hovenier (J. Math. Appl. 186 (1994) 156-160), to give upper bounds for the absolute of mean value, E(g(X)). Some examples for...