(Received May 23, 1989; revised May 15, 1990)
Abstract. In this paper, a family of estimators for estimating means when mixing two independent Poisson samples is proposed. This family is based on the probability-generating function of the Poisson distribution and is offered as an alternative to the maximum likelihood estimators, which have some drawbacks. These estimators include the method of moments estimators as a special limiting case.
Key words and phrases: Poisson distribution, probability-generating function, generalized variance.
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