English

Limit theorems for singular Skorohod integrals

Probability 2019-03-14 v1

Abstract

In this paper we prove the convergence in distribution of sequences of It\^o and Skorohod integrals with integrands having singular asymptotic behavior. These sequences include stochastic convolutions and generalize the example n01tnBtdBt\sqrt n\int _0^1 t^n B_tdB_t first studied by Peccati and Yor in 2004.

Cite

@article{arxiv.1903.05173,
  title  = {Limit theorems for singular Skorohod integrals},
  author = {Denis Bell and Raul Bolanos and David Nualart},
  journal= {arXiv preprint arXiv:1903.05173},
  year   = {2019}
}
R2 v1 2026-06-23T08:06:17.559Z