In this paper, we introduce the concepts of robust statistics and the robust method of M-estimation.

本文介绍了稳健统计的概念和M估计的稳健方法。

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To determine the rank of regression coefficient matrix in a multivariate linear regression model, a model selection procedure is proposed based on the M-estimation.

为了确定多重线性回归模型中回归系数矩阵的秩，本文提出了一个基于M估计的模型选择程序，且在较弱的条件下建立了回归系数矩阵的秩的估计的强相合性。

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In order to overcome the disturbance of noises, a robust identification method of water quality model parameters namely trust region algorithm based on M-estimation is proposed.

为了克服随机噪声对河流水质模型参数估计的干扰，提出了一种水质模型参数的鲁棒估计方法，即基于M -估计的信赖域算法。

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