عنوان
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Shrinkage and Bayesian Shrinkage Estimation of the Expected Length of a M/M/1 Queue System
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Bayes shrinkage estimator, expected length, M/M/1 queue, scale-invariant squared error loss function.
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چکیده
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In this paper, shrinkage and Bayesian shrinkage estimation of the expected length (l) in a M/M/1 queue system is considered. A shrinkage estimator of l is considered when a priori about l as l_0 is available. The bias and the risk of shrinkage estimators are derived under a scale-invariant squared error loss (SISEL) function. A class of Bayes shrinkage estimators for $l$ is proposed which is a generalization of Bayes shrinkage estimator and a relative performance of proposed estimators and the maximum likelihood estimator (MLE) is performed. A simulated data is given to illustrate the proposed results. Finally, we conclude with a summary of our contributions.
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پژوهشگران
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آزاده کیاپور (نفر اول)، مهران نقی زاده قمی (نفر دوم)
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