本论文的目的是研究简单线性存在误差项(EV)退化模型的最小二乘估计量中心极限定理的收敛速度。进一步,Miao,Yang和Shen在[1]中对其实际应用做了详细的介绍。<br/>In this paper, we study the convergence rate of the central limit theorems for LS estimator in simple linear errors-in-variables (EV) regression model. Further, its application has been introduced detailedly by Miao, Yang and Shen in[1].
中心极限定理,收敛速度,EV退化模型,最小二乘法估计量, Central Limit Theorem Convergence Rate EV Regression Model LS Estimator简单线性EV回归模型中最小二乘估计量的Berry-Esseen估计
孟娇,于明明, (2015) 简单线性EV回归模型中最小二乘估计量的Berry-Esseen估计A Note on LS Berry-Esseen Estimator in Simple Linear EV Regression Model. 应用数学进展,01,29-36. doi: 10.12677/AAM.2015.41004
参考文献 (References)ReferencesMiao, Y., Yang, G.Y. and Shen, L.M. (2007) The central limit theorem for LS estimator in simple linear EV regression models. Communications in Statistics-Theory and Methods, 36, 2263-2272.Liu, J.X. and Chen, X.R. (2005) Consistency of LS estimator in simple linear EV regression model. Acta Mathematica Scientia, 25B, 50-58.Miao,Y. and Liu, W.A. (2009) Moderate deviations for LS estimator in simple linear EV regression model. Journal of Statistical Planning and Inference, 139, 3122-3131.Cui, H.J. (1997) Asymptotic normality of M-estimator in the EV model. Journal of System Science and Mathematics, 10, 225-236.Deaton, A. (1985) Panel data from a time series of cross-sections. Journal of Econometrics, 30, 109-126.Gleser, L.J. (1981) Estimation in a multivariate “error in variables” regression model: Large sample results. Annals of Statistics, 9, 24-44.Michel, R. and Pfanzagl, J. (1971) The accuracy of normal approximation for minimum contrast estimates. Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete, 18, 73-84.Petrov, V.V. (1975) Sums of independent random variables. Springer, Berlin.