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  • 标题:A New Stochastic Process with Long-Range Dependence
  • 本地全文:下载
  • 作者:Sung Ik Kim ; Young Shin Kim
  • 期刊名称:Journal of Statistical Theory and Applications (JSTA)
  • 电子版ISSN:1538-7887
  • 出版年度:2020
  • 卷号:19
  • 期号:3
  • 页码:432-438
  • DOI:10.2991/jsta.d.200923.001
  • 语种:English
  • 出版社:Atlantis Press
  • 摘要:In this paper, we introduce a fractional Generalized Hyperbolic process, a new stochastic process with long-range dependence obtained by subordinating fractional Brownian motion to a fractional Generalized Inverse Gaussian process. The basic properties and covariance structure between the elements of the processes are discussed, and we present numerical methods to generate the sample paths for the processes.
  • 关键词:Generalized hyperbolic process; Lévy process; Time-changed Brownian motion; Long-range dependence; Fractional Brownian motion
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