Efficient closed-form maximum a posteriori estimators for the gamma distribution |
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Authors: | Francisco Louzada |
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Institution: | Institute of Mathematical Science and Computing, University of S?o Paulo, S?o Carlos, Brazil |
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Abstract: | We proposed a new class of maximum a posteriori estimators for the parameters of the Gamma distribution. These estimators have simple closed-form expressions and can be rewritten as a bias-corrected maximum likelihood estimators presented by Ye and Chen Closed-form estimators for the gamma distribution derived from likelihood equations. Am Statist. 2017;71(2):177–181]. A simulation study was carried out to compare different estimation procedures. Numerical results revels that our new estimation scheme outperforms the existing closed-form estimators and produces extremely efficient estimates for both parameters, even for small sample sizes. |
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Keywords: | Gamma distribution Bayesian analysis maximum likelihood estimators closed-form estimator |
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