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  • 标题:Generalized subsampling procedure for non-stationary time series
  • 本地全文:下载
  • 作者:Łukasz Lenart
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2018
  • 卷号:12
  • 期号:2
  • 页码:3875-3907
  • DOI:10.1214/18-EJS1503
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:In this paper, we propose a generalization of the subsampling procedure for non-stationary time series. The proposed generalization is simply related to the usual subsampling procedure. We formulate the sufficient conditions for the consistency of such a generalization. These sufficient conditions are a generalization of those presented for the usual subsampling procedure for non-stationary time series. Finally, we demonstrate the consistency of the generalized subsampling procedure for the Fourier coefficient in mean expansion of Almost Periodically Correlated time series.
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