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固定效应下部分线性变系数面板模型的协方差矩阵检验OA北大核心CHSSCDCSTPCD

Covariance Matrix Test of Partially Linear Variable Coefficient Panel Model Under Fixed Effects

中文摘要英文摘要

面板数据的建模分析一直是计量经济学与统计学的研究热点之一.随着面板数据的深入研究,面板数据固定效应模型得到了广泛应用.关于部分线性时变系数模型的面板数据分析已有很多成果,但大多数假设模型误差是独立同分布的,这一点在实际问题中未必符合.随着高维面板数据的出现,对模型的协方差检验也成了研究的重点.文章基于局部光滑技术和轮廓最小二乘估计方法,研究了模型误差结构的协方差矩阵球形检验和单位矩阵检验问题,并证明了对应的统计量的渐近正态分布和大样本性质.蒙特卡洛模拟进一步说明了检验方法的有效性和稳健性.

Panel data modeling analysis has been one of the research hotspots in econometrics and statistics.With the in-depth study of panel data,panel data fixed effect model is widely used.There have been many achievements in panel data anal-ysis of partial linear time-varying coefficient models,but in most cases,it is assumed that the model errors are independent and identically distributed,which may not be consistent with practical problems.With the emergence of high-dimensional panel data,the covariance test of the model has become the focus of research.Based on the local smoothing technique and the contour least squares estimation method,this paper studies the sphericity test of the covariance matrix and the identity matrix test of the error structure of the model,and proves the asymptotic normal distribution and the large sample properties of the test statistics.Monte Carlo simulation further demonstrates the validity and robustness of the test method.

李睿;舒颐超

上海对外经贸大学 统计与信息学院,上海 201620

数学

半参数面板模型轮廓最小二乘球形检验单位矩阵检验

semi-parametric panel modelcontour least squaressphericity testidentity matrix test

《统计与决策》 2024 (004)

28-33 / 6

国家社会科学基金资助项目(17BTJ025)

10.13546/j.cnki.tjyjc.2024.04.005

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