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  • 标题:EDGEWORTH APPROXIMATION IN THE AR(1) PROCESS WITH SOME POSSIBLY NONZERO INITIAL VALUE
  • 本地全文:下载
  • 作者:Yoshihide Kakizawa
  • 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:2002
  • 卷号:32
  • 期号:2
  • 页码:209-237
  • DOI:10.14490/jjss.32.209
  • 出版社:JAPAN STATISTICAL SOCIETY
  • 摘要:

    This paper shows the validity of the (arbitrary) higher order Edgeworth expansion for the distribution of estimators of the coefficient parameter θ∈(−1, 1) in the AR(1) process {Xt} with a possibly nonzero initial value X0=x. The stationary case of X0∼N(0, 1/(1−θ2)) is also treated.

  • 关键词:Edgeworth expansion; Berry-Esseen bound; moderate deviation; AR(1) process.
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