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线性回归的几乎无偏两参数岭M估计

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针对线性回归模型中设计矩阵存在复共线性问题,利用几乎无偏估计和两参数岭估计的思想,提出了几乎无偏两参数岭M估计.在均方误差准则下,得到了几乎无偏两参数岭M估计优于两参数岭M估计、几乎无偏两参数岭估计,并通过数值模拟验证了估计方法和结论的有效性.
On almost unbiased two-parameter ridge-type M-estimatorfor linear regression model
Considering the existence of multicollinearity in the design matrix of the linear model,this paper proposed a new ridge-type M-estimatorfor almost unbiased two-parameter based on almost unbiased estimation and two parameter ridge-type M-estimator.Under the mean square errorcriterion,the proposed estimator outperforms two-parameter ridge M-estimator and the almost unbiased two-parameter ridge estimate.Moreover,a numerical example experiment was presented to verify the validity of the estimation method and conclusions.

linear regression modelmean square errortwo-parameter ridge M-estimatealmost unbiased two-parameter ridge-type M-estimate

胡宏昌、闾欣萍

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湖北师范大学 数学与统计学院,湖北 黄石 435002

线性回归模型 均方误差 两参数岭M估计 几乎无偏两参数岭M估计

2024

湖北师范大学学报(自然科学版)
湖北师范学院

湖北师范大学学报(自然科学版)

影响因子:0.376
ISSN:2096-3149
年,卷(期):2024.44(2)
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