A New Ridge Estimator in Linear Measurement Error Model with Stochastic Linear Restrictions

IF 0.1 Q4 STATISTICS & PROBABILITY JIRSS-Journal of the Iranian Statistical Society Pub Date : 2016-08-25 DOI:10.18869/ACADPUB.JIRSS.15.2.87
F. Ghapani, B. Babadi
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引用次数: 12

Abstract

. In this paper, a new ridge-type estimator is proposed and termed as the new mixed ridge estimator (NMRE) which is obtained by unifying the sample and prior information in linear measurement error model with additional stochastic linear restrictions. The new estimator is a generalization of the mixed estimator (ME) and ridge estimator (RE). The performances of this new estimator and mixed ridge estimator (MRE) with respect to the ME are examined under the criterion of mean squared error matrix. Finally, a numerical example and a Monte Carlo simulation are also presented to analyze.
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具有随机线性限制的线性测量误差模型中的一种新的脊估计
。本文提出了一种新的脊型估计量,称为新型混合脊估计量(NMRE),该估计量是将线性测量误差模型中的样本和先验信息统一起来,并附加了随机线性限制条件。新的估计量是混合估计量和脊估计量的推广。在均方误差矩阵准则下,检验了该估计器和混合脊估计器相对于均值的性能。最后给出了一个数值算例和蒙特卡罗模拟来进行分析。
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