Moderate Deviations for Dynamic Model Governed by Stationary Process

@inproceedings{Liptser1996ModerateDF,
  title={Moderate Deviations for Dynamic Model Governed by Stationary Process},
  author={R. Sh. Liptser},
  year={1996}
}
We give an example of the moderate deviations for the family (X n t) t≥0 , n ≥ 1 with ˙ X n t = a(X n t) + b(X n t) n √ n k+1 ηtn, where ηt is a stationary process obeying the Wold – decomposition: ηt = R t −∞ h(t − s)dN s with respect to a process Nt with homogeneous independent square integrable increments and 1/2 < k < 1. 

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References

Publications referenced by this paper.
Showing 1-10 of 17 references

Uniform and moderate deviations for functional empirical processes, Stoch. Processes and their Appl

  • D Dembo, T Zaijc
  • Uniform and moderate deviations for functional…
  • 1997

Moderate deviations for a simple closed queueing model

  • T Zajic
  • Moderate deviations for a simple closed queueing…
  • 1995

Moderate deviations of dependent random variables related to CLT

  • L Wu
  • Ann. Probab
  • 1995

Uniform moderate deviations of functional empirical processes of Markov chains, Probability and Mathematical Statistics (to appear) (2000). Electrical Engineering Systems

  • A Guillin
  • Uniform moderate deviations of functional…
  • 1995

Large deviations of semimartingales via convergence of the predictable characteristics

  • A A Puhalskii
  • Stochastics and Stochastic Reports
  • 1994

Sur les deviations modérées des sommes de variables aléatoires vectorielles independantes de même loi

  • M Ledoux
  • Ann. H. Poincaré
  • 1992

On functional principle of large deviations, New trends in Probability and Statistics

  • A A Puhalskii
  • VSP/Mokslas
  • 1991

The moderate deviations of independent random vectors in a Banach space

  • X Cnen
  • Chinese J. Appl. Probab. Statist
  • 1991

Limit theorems of large deviations of Markov processes

  • A D Wentzell
  • Limit theorems of large deviations of Markov…
  • 1989

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