Consider also a fixed number R of replicates of a binomial experiment
, where replicate r (1 [less than or equal to] r [less than or equal to] R) moves ahead the sequence of trials in the r-th negative binomial experiment
described above to an overall total of T trials so that the binomial experiment
r has parameters [n.sup.(b).sub.r] = T - [n.sup.(a).sub.r] and [p.sub.b].
A binomial random variable is defined on a binomial experiment
which has five characteristics: (1) the experiment consists of N trials; (2) each trial results in one of two outcomes (called success and failure in the literature); (3) the probability of the success event is constant over trials (called stationarity); (4) trials are completely independent (i.e.