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  • 标题:On Confidence Bands for Time Series Problems in the Time and Frequency Domains
  • 本地全文:下载
  • 作者:R. P. MENTZ ; A. J. VIOLLAZ ; C. I. MARTÍNEZ
  • 期刊名称:Brazilian Journal of Probability and Statistics
  • 印刷版ISSN:0103-0752
  • 出版年度:2003
  • 卷号:17
  • 期号:2
  • 页码:179-211
  • 出版社:Brazilian Statistical Association
  • 摘要:The construction of (asymptotic) simultaneous confidencebands for some time series problems is studied, typically for the sample au-tocorrelogram and windowed spectral density estimate. The following ap-proaches are explored: (1) To use the close-form results available in the lit-erature; (2) To use the asymptotic independence of the sample quantitiesto derive new procedures; (3) To resort to inequalities. As expected, thebands turn out being wider than those frequently encountered in the litera-ture, based on point-by-point confidence intervals. Numerical values of thenecessary constants are given for selected values of the joint confidence coef-ficient and various numbers of sample quantities. The use of confidence setsof non-uniform width is also brie.y explored. Monte Carlo simulations arepresented, for problems in the time and in the frequency domains
  • 关键词:Asymptotic independence; autocorrelogram; Bonferroni in-;equality; simultaneous confidence bands; windowed spectral density estimate
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