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  • 标题:Minimum distance estimation for fractional Ornstein-Uhlenbeck type process
  • 本地全文:下载
  • 作者:Zaiming Liu ; Na Song
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:137
  • DOI:10.1186/1687-1847-2014-137
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider a one-dimensional linear stochastic differential equation defined as d X t = θ X t d t + ε d B t H , X 0 = x 0 , with θ the unknown drift parameter, where { B t H , 0 ≤ t ≤ T } is a fractional Brownian motion with ε > 0 . The consistency and the asymptotic distribution of the minimum Skorohod distance estimator θ ε ∗ of θ based on the observation { X t , 0 ≤ t ≤ T } is studied as T → + ∞ .
  • 关键词:long-range dependence ; minimum distance estimation ; consistency ; asymptotic distribution
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