Accession Number : AD0605117

Title :   BOUNDS ON THE EXPECTATION OF A CONVEX FUNCTION OF A RANDOM VARIABLE,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Edmundson,H. P.

Report Date : 09 APR 1957

Pagination or Media Count : 6

Abstract : Suppose that f is a convex function defined on the interval I = (a, b) where b>a. Let X be a random variable defined on I whose expectation E(X) is finite. Upper and lower bounds for the expectation E(f(X)) are derived using the theory of moment spaces. The lower bound obtained agrees with that of classical analysis, while the upper bound is believed to be a new result. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), ANALYSIS OF VARIANCE), SET THEORY, MOMENTS, INEQUALITIES, THEOREMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE