Abstract

In this article, we introduce two parameter estimator and two parameter weighted mixed estimator for the vector of parameters in linear measurement error models. The asymptotic properties of the estimators are derived and the performance of obtained estimators is examined with respect to the mean square error matrix criterion. Furthermore, selection of the biasing parameters is discussed. Finally, a simulation study and a numerical example are given to evaluate the performance of obtained estimators in the theoretical results.

中文翻译：

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线性测量误差模型中的二参数加权混合估计

摘要

在本文中，我们介绍了线性测量误差模型中参数向量的两个参数估计器和两个参数加权混合估计器。推导了估计量的渐近特性，并根据均方误差矩阵准则检查了获得的估计量的性能。此外，讨论了偏置参数的选择。最后，给出了一个模拟研究和一个数值例子来评估所获得的估计器在理论结果中的性能。