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