English

On Convergence to Stochastic Integrals

Probability 2010-08-03 v3

Abstract

Weak convergence of various general functionals of partial sums of dependent random variables to stochastic integral now play a major role in the modern statistics theory. In this paper, we obtain the weak convergence of various general functionals of partial sums of casual process by means of the method which was introduced in Jacod and Shiryaev (2003).

Keywords

Cite

@article{arxiv.1006.4693,
  title  = {On Convergence to Stochastic Integrals},
  author = {Zheng-Yan Lin and Han-Chao Wang},
  journal= {arXiv preprint arXiv:1006.4693},
  year   = {2010}
}

Comments

20pages

R2 v1 2026-06-21T15:40:21.305Z