English

Asymptotic analysis in problems with fractional processes

Probability 2024-11-28 v2

Abstract

Some problems in the theory and applications of stochastic processes can be reduced to solving integral equations. While explicit solutions for these equations are often elusive, valuable insights can be gained through their asymptotic analysis with respect to relevant parameters. This paper is a brief survey of some recent progress in the study of such equations related to processes with fractional covariance structure.

Keywords

Cite

@article{arxiv.2409.09377,
  title  = {Asymptotic analysis in problems with fractional processes},
  author = {P. Chigansky and M. Kleptsyna},
  journal= {arXiv preprint arXiv:2409.09377},
  year   = {2024}
}

Comments

to appear in "Statistics of Random Processes and Optimal Control" in Prof. A. N. Shiryaev Festschrift

R2 v1 2026-06-28T18:44:38.660Z