Point and interval estimators in a binomial-Poisson compound distribution

X ) and the overall sampling size (M). If the later is of Poisson type with parameter λ, a sequence of M=m Bernouilli trials originates a compound binomial-Poisson random variable. The estimator of the proportion p is studied within this framework, and a numerical approximation can be obtained for its sampling distribution for any sample size. Received: November 6, 1997; revised version: August 14, 2000