Home → Magazine Archive → December 1961 (Vol. 4, No. 12) → Machine calculation of moments of a probability distribution → Abstract

Machine calculation of moments of a probability distribution

By J. A. Lechner

Communications of the ACM, Vol. 4 No. 12, Pages 553-554

A method is presented for the calculation on a machine of the moments of a probability distribution, necessitating little more than n additions and n references to memory for each moment, instead of the minimum of n multiplication, 2n additions, and 2n references to memory required by the most straightforward method (where n is the number of entries in the probability distribution). The method is directly applicable when a tabulated distribution exists, as when it has been computed by repeated convolution; but in this case it conserves both time and accuracy.

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