Abstract
In this paper, we shall consider the approximation to the mean and variance of moments method estimators due to gamma distribution by using Taylor series expansion approach. This approach showed that the estimators are asymptotically unbiased with mean square error approach zero as the sample size approach infinity. The theoretical approach assessed practically by using monte-carlo simulation. Keyword: Gamma distribution, moments, moments method estimation, Taylor method, Ratio approximation, monte-carlo simulation.
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