English

Exact confidence intervals of the extended Orey index for Gaussian processes

Probability 2015-06-02 v2

Abstract

In this paper exact confidence intervals for the Orey index of Gaussian processes are obtained using concentration inequalities for Gaussian quadratic forms and discrete observations of the underlying process. The obtained result is applied to Gaussian processes with the Orey index which not necessarily have stationary increments.

Keywords

Cite

@article{arxiv.1505.04292,
  title  = {Exact confidence intervals of the extended Orey index for Gaussian processes},
  author = {Kestutis Kubilius and Dmitrij Melichov},
  journal= {arXiv preprint arXiv:1505.04292},
  year   = {2015}
}

Comments

20 pages, 6 figures, R code listings of simulations