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Khairul Islam

Department of Mathematics, Eastern Michigan University



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Tanweer J. Shapla

Department of Mathematics, Eastern Michigan University



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507 – Statistical Inference

On the Estimation of Poisson Parameter: An Alternative Approach

Sponsor: Government Statistics Section
Keywords: Moment generating function, method of moments, Poisson parameter, relative efficiency

Khairul Islam

Department of Mathematics, Eastern Michigan University

Tanweer J. Shapla

Department of Mathematics, Eastern Michigan University

Poisson distribution plays an important role in modeling rare events data. In this paper, a new estimator of the Poisson parameter has been proposed by using moment generating function. Some important characteristics of the estimator are studied. The performance of the new estimator has been compared with the one using the maximum likelihood method, theoretically and empirically. An empirical study and a real-life application suggest that the proposed new estimator is more efficient than usual estimator.

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