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文章基本信息

  • 标题:The Asymptotic Distribution of Nonparametric Estimates of the Lyapunov Exponent for Stochastic Time Series"
  • 本地全文:下载
  • 作者:Whang, Yoon-Jae ; Linton, Oliver
  • 期刊名称:COWLES Foundation Discussion Paper / Cowles Foundation for Research in Economics
  • 出版年度:1996
  • 卷号:1996
  • 期号:1
  • 出版社:Yale University
  • 摘要:This paper derives the asymptotic distribution of a smoothing-based estimator of the Lyapunov exponent for a stochastic time series under two general scenarios. In the first case, we are able to establish root-T consistency and asymptotic normality, while in the second case, which is more relevant for chaotic processes, we are only able to establish asymptotic normality at a slower rate of convergence. We provide consistent confidence intervals for both cases. We apply our procedures to simulated data.
  • 关键词:Chaos, kernel, nonlinear dynamics, nonparametric regression, semiparametric
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