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ESTIMATING MEANS FROM A NON-I.I.D. MIXTURE

OF POISSON SAMPLES

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STEVEN G. FROM

*Department of Mathematics and Computer Science, University of Nebraska-Omaha,*

Omaha, NB 68182-0243, U.S.A.
(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.

**Source**
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