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Variance expressions for spectra estimated using auto-regressions
Xie, LL; Ljung, L
2004
发表期刊JOURNAL OF ECONOMETRICS
ISSN0304-4076
卷号118期号:1-2页码:247-256
摘要An expression for the variance of the estimated spectrum based on auto-regressions is developed. This expression is asymptotic in the number of data, but exact in the model order. As the order tends to infinity it converges to the well known result that the variance is proportional to the model order times the square of the spectrum itself. The exact expression gives insight into the character of this convergence, its speed and its dependence on the poles of the underlying AR-process. (C) 2003 Elsevier B.V. All rights reserved.
关键词variance spectra auto-regression
DOI10.1016/S0304-4076(03)00142-8
语种英语
WOS研究方向Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS类目Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods
WOS记录号WOS:000186669100012
出版者ELSEVIER SCIENCE SA
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/960
专题中国科学院数学与系统科学研究院
通讯作者Ljung, L
作者单位1.Linkoping Univ, Dept Elect Engn, S-58183 Linkoping, Sweden
2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
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Xie, LL,Ljung, L. Variance expressions for spectra estimated using auto-regressions[J]. JOURNAL OF ECONOMETRICS,2004,118(1-2):247-256.
APA Xie, LL,&Ljung, L.(2004).Variance expressions for spectra estimated using auto-regressions.JOURNAL OF ECONOMETRICS,118(1-2),247-256.
MLA Xie, LL,et al."Variance expressions for spectra estimated using auto-regressions".JOURNAL OF ECONOMETRICS 118.1-2(2004):247-256.
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