Inverse moment bounds for sample autocovariance matrices based on detrended time series and their applications

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Title:	Inverse moment bounds for sample autocovariance matrices based on detrended time series and their applications
Authors:	鄭子長;Cheng, Tzu-Chang F.;Ing, Ching-Kang;Yu, Shu-Hui
Contributors:	管理學院經濟學系
Keywords:	Banded Cholesky factorization;Detrended time series;Inverse moment bounds;Moment convergence;Regression model with time series errors;Sample autocovariance matrix
Date:	2015-05-15
Issue Date:	2026-04-23 13:03:30 (UTC+8)
Publisher:	Elsevier Inc.;Elsevier Inc
Abstract:	摘要： In this paper, we assume that observations are generated by a linear regression model with short- or long-memory dependent errors. We establish inverse moment bounds for kn-dimensional sample autocovariance matrices based on the least squares residuals (also known as the detrended time series), where kn≪n, kn→∞ and n is the sample size. These results are then used to derive the mean-square error bounds for the finite predictor coefficients of the underlying error process. Based on the detrended time series, we further estimate the inverse of the n-dimensional autocovariance matrix, Rn−1, of the error process using the banded Cholesky factorization. By making use of the aforementioned inverse moment bounds, we obtain the convergence of moments of the difference between the proposed estimator and Rn−1 under spectral norm. 出版者： Elsevier Inc 出版日期： 2015-05-15 出處： Linear algebra and its applications, 2015-05, Vol.473, p.180-201 資源來源： Elsevier ScienceDirect Journals Complete - Autoholdings 版權： 2014 Elsevier Inc. 識別號： ISSN: 0024-3795 識別號： EISSN: 1873-1856 識別號： DOI: 10.1016/j.laa.2014.05.017
Appears in Collections:	[Department of Economics] journal & Dissertation

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