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系统辨识中LS估计的渐近正态性的注记(英文)
Remarks on the Asymptotic Normality of Least Squares Estimator for System Identification
【摘要】 文献[1]中,我们用有关鞅的中心极限定理,证明了系统辨识中LS估计的渐近正态性。然而[1]中的条件是苛刻的。本文利用Mcleish的相依变量的中心极限定理改进了[1]的结果。
【Abstract】 In Yuan’s paper [ 1 ], we have proved the asymptotic normality of least square estimator in system identification using the central limit theorem for martingales. However, the conditions of [ 1] are rather harsh. In this artical, we use Mcleish’s dependent central limit theorem to improve the above result.
【关键词】 渐近正态性;
LS估计;
系统辨识;
中心极限定理;
regressive;
依变量;
martingale;
weighting;
proof;
algebra;
【基金】 This work is a part of the project supported by National Natural Science Foundation of China
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,1989年04期
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