Accession Number:

AD0605117

Title:

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

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1957-04-09

Pagination or Media Count:

6.0

Abstract:

Suppose that f is a convex function defined on the interval I a, b where ba. Let X be a random variable defined on I whose expectation EX is finite. Upper and lower bounds for the expectation EfX 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE