Two Different Classes of Shrinkage Estimators for the Scale Parameter of the Rayleigh Distribution

Talha Omer; Zawar Hussain; Muhammad Qasim; Said Farooq Shah; Akbar Ali Khan

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Two Different Classes of Shrinkage Estimators for the Scale Parameter of the Rayleigh Distribution

机译：瑞利分布规模参数的两类不同类别的收缩估算

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Shrinkage estimators are introduced for the scale parameter of the Rayleigh distribution by using two different shrinkage techniques. The mean squared error properties of the proposed estimator have been derived. The comparison of proposed classes of the estimators is made with the respective conventional unbiased estimators by means of mean squared error in the simulation study. Simulation results show that the proposed shrinkage estimators yield smaller mean squared error than the existence of unbiased estimators.

机译：通过使用两种不同的收缩技术，引入了收缩估算器以获得瑞利分布的比例参数。推导出建议估计器的平均平方误差特性。通过仿真研究中的均方误差，通过各个传统的无偏估计进行估计器的所提出的估计量的比较。仿真结果表明，所提出的收缩估计估计结果比不偏的估计器的存在产生较小的平均平均误差。

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《Journal of Modern Applied Statistical Methods》 |2020年第1期|共21页
作者
Talha Omer; Zawar Hussain; Muhammad Qasim; Said Farooq Shah; Akbar Ali Khan;
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正文语种
中图分类计量学;
关键词
Rayleigh distributionscale parametershrinkage estimatormean squared error;

机译：Rayleigh分发Cale参数Hrinkage Extiveal平方错误;

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2. Two different shrinkage estimator classes for the shape parameter of classical Pareto distribution [J] . Ebegil Meral, Ozdemir Senay hacettepe journal of mathematics and statistics . 2016,第4期

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3. Bayesian Shrinkage Estimator for the Scale Parameter of Exponential Distribution under Improper Prior Distribution [J] . Abbas Najim Salman, Raeeda Ali Shareef International Journal of Statistics and Applications . 2014,第3期

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4. A subspace approach for shrinkage parameter selection in undersampled configuration for Regularised Tyler Estimators [C] . Q. Hoarau, A. Breloy, G. Ginolhac, IEEE International Conference on Acoustics, Speech and Signal Processing . 2017

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5. Bias of the Maximum Likelihood Estimator of the Generalized Rayleigh Distribution. [D] . Ling, Xiao. 2012

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Two Different Classes of Shrinkage Estimators for the Scale Parameter of the Rayleigh Distribution

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