ABSTRACT

The probability function of the truncated binomial distribution with missing zero class, which is the distribution of primary interest in this section, is

where, from (13.4.1), q" = f(O; n, p). Noncentral moments of this distribution about zero are obtained by dividing corresponding moments of the complete binomial distribution as given in (13.4.2) by (1 - q"). Accordingly, the mean and variance of the truncated binomial become

E(X)- np (1 - q") and

which we subsequently express in the simpler algebraic form

[ q"] np x = np 1 + -- = ---, 1-q" 1-q" (13.4.10) where x = 2-7~ 1 x;lk.