Pakistan Journal of Statistics, ( ISI ), Volume (25), No (1), Year (2009-2) , Pages (15-26)

Title : ( Estimation of Parameters of the Gamma Distribution in the Presence of Outliers Generated From Uniform Distribution )

Authors: Mehdi Jabbari Nooghabi , Hadi Jabbari Nooghabi , P. F. Nasiri ,

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Abstract

The maximum likelihood, moment and mixture of the estimators are derived for samples from the gamma distribution in the presence of outliers generated from uniform distribution. These estimators are compared empirically when all the parameters are unknown; their bias and determinants are investigated with the help of numerical technique. We have shown that these estimators are asymptotically unbiased. At the end, we conclude that mixture estimators are better than the maximum likelihood and moment estimators.

Keywords

, Gamma distribution, Outlier, Uniform distribution, Moment Estimator, Maximum likelihood estimator, Mixture estimator, Newton-Raphson.
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@article{paperid:1006559,
author = {Jabbari Nooghabi, Mehdi and Jabbari Nooghabi, Hadi and P. F. Nasiri},
title = {Estimation of Parameters of the Gamma Distribution in the Presence of Outliers Generated From Uniform Distribution},
journal = {Pakistan Journal of Statistics},
year = {2009},
volume = {25},
number = {1},
month = {February},
issn = {1012-9367},
pages = {15--26},
numpages = {11},
keywords = {Gamma distribution; Outlier; Uniform distribution; Moment Estimator; Maximum likelihood estimator; Mixture estimator; Newton-Raphson.},
}

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%0 Journal Article
%T Estimation of Parameters of the Gamma Distribution in the Presence of Outliers Generated From Uniform Distribution
%A Jabbari Nooghabi, Mehdi
%A Jabbari Nooghabi, Hadi
%A P. F. Nasiri
%J Pakistan Journal of Statistics
%@ 1012-9367
%D 2009

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