M. Al-Abood, A., N. Mahmood, Y. (2015). Approximation to the Mean and Variance of Moments Method Estimate Due to Gamma Distribution. , 18(1), 156-161.
Akram M. Al-Abood; Yamama N. Mahmood. "Approximation to the Mean and Variance of Moments Method Estimate Due to Gamma Distribution". , 18, 1, 2015, 156-161.
M. Al-Abood, A., N. Mahmood, Y. (2015). 'Approximation to the Mean and Variance of Moments Method Estimate Due to Gamma Distribution', , 18(1), pp. 156-161.
M. Al-Abood, A., N. Mahmood, Y. Approximation to the Mean and Variance of Moments Method Estimate Due to Gamma Distribution. , 2015; 18(1): 156-161.

Approximation to the Mean and Variance of Moments Method Estimate Due to Gamma Distribution

Journal of Al-Nahrain University - Science
Article 1, Volume 18, Issue 1, 2015, Pages 156-161
Authors
Akram M. Al-Abood; Yamama N. Mahmood
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.
Keywords
Gamma distribution; moments; moments method estimation; Taylor method; Ratio approximation; monte; carlo simulation
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