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Khairul Islam

Department of Mathematics and Statistics, Eastern Michigan University



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Tanweer Shapla

Department of Mathematics and Statistics, Eastern Michigan University



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622 – Probability Distribution Theory and Their Applications

On an Efficient Estimator of Exponential Parameter and Its Distributional Fit

Sponsor: IMS
Keywords: Moment generating function, method of moments, exponential parameter, relative efficiency, simulation

Khairul Islam

Department of Mathematics and Statistics, Eastern Michigan University

Tanweer Shapla

Department of Mathematics and Statistics, Eastern Michigan University

Exponential distribution plays an important role in modeling real-life data relating to the continuous waiting time. In this presentation, a new estimator of the Exponential parameter has been proposed. Some important characteristics of the estimator have been studied. The performance of the new estimator has been compared theoretically, and empirically with the one using maximum likelihood estimator. Empirical study with simulation, and examples to real-life data reveal that the new estimator is more efficient than the maximum likelihood estimator.

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