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  • 标题:Generalized Information Criteria in Model Selection for Locally Stationary Processes
  • 本地全文:下载
  • 作者:Junichi Hirukawa ; Hiroko Solvang Kato ; Kenichiro Tamaki
  • 期刊名称:JOURNAL OF THE JAPAN STATISTICAL SOCIETY
  • 印刷版ISSN:1882-2754
  • 电子版ISSN:1348-6365
  • 出版年度:2008
  • 卷号:38
  • 期号:1
  • 页码:157-171
  • DOI:10.14490/jjss.38.157
  • 出版社:JAPAN STATISTICAL SOCIETY
  • 摘要:The problem of fitting a parametric model of time series with time varying parameters attracts our attention. We evaluate a goodness of time varying spectral models from an information theoretic point of view. We propose model selection criteria for locally stationary processes based on nonlinear functionals of a time varying spectral density without assuming that the true time varying spectral density belongs to the model. Also, we obtain a sufficient condition such that our information criteria coincide with Akaike's information criterion.
  • 关键词:Generalized information criterion;locally stationary process;minimum distance estimation;misspecified models;time varying spectral density
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