A note on the expected values of powers of a matrix
Canadian Journal of Statistics1973Vol. 1(1-2), pp. 123–125
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Abstract
Abstract It is known [Z] that if X is any positive random variable, then E (X n )>[ E (X)] n for any integer n, provided the expectations exist. A matrix generalization of this result for n = ‐1 was given in [1]. We will show that a simple exercise in matrix analysis yields the matrix generalization for any integer n, positive or negative.
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