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KULLBACK 1. Introduction. The Bernoulli or binomial distribution, of central importance in the theory of mathematical probability and statistics, has been the subject of considerable study. The derivation of the moments, or recursion formulas for the moments, of this distribution, as usually presented, involve the use of moment-generating or characteristic functions, or the explicit form of the distribution itself, f In the following we will derive these moments in an elementary manner and extend the results to the Poisson exponential distribution, distributions of the Lexis and Poisson types, and the multinomial distribution.
S. Kullback (Tue,) studied this question.