English

On monotonicity and order-preservation for multidimensional G-diffusion processes

Probability 2014-10-07 v3

Abstract

In this paper, we prove a comparison theorem for multidimensional G-SDEs. Moreover we obtain respectively the sufficient conditions and necessary conditions of the monotonicity and order-preservation for two multidimensional G-diffusion processes. Finally, we give some applications.

Keywords

Cite

@article{arxiv.1402.4633,
  title  = {On monotonicity and order-preservation for multidimensional G-diffusion processes},
  author = {Peng Luo and Guangyan Jia},
  journal= {arXiv preprint arXiv:1402.4633},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1212.5403, arXiv:1306.1929 by other authors. text overlap with arXiv:1212.5403, arXiv:1306.1929, arXiv:0910.3871 by other authors

R2 v1 2026-06-22T03:11:25.919Z