English

Modeling of stochastic processes in $L_p(T)$ using orthogonal polynomials

Statistics Theory 2025-03-25 v1 Statistics Theory

Abstract

In this paper, models that approximate stochastic processes from the space Subφ(Ω)Sub_\varphi(\Omega) with given reliability and accuracy in Lp(T)L_p(T) are considered for some specific functions φ(t)\varphi(t). For processes that are decomposited in series using orthonormal bases, such models are constructed in the case where elements of such decomposition cannot be found explicitly.

Keywords

Cite

@article{arxiv.2503.17532,
  title  = {Modeling of stochastic processes in $L_p(T)$ using orthogonal polynomials},
  author = {Oleksandr Mokliachuk},
  journal= {arXiv preprint arXiv:2503.17532},
  year   = {2025}
}
R2 v1 2026-06-28T22:30:29.521Z