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507 – Statistical Inference
On the Estimation of Poisson Parameter: An Alternative Approach
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.