Spatial and Temporal white noises under sublinear G-expectation
Probability
2018-11-08 v1
Abstract
In the framework of sublinear expectation, we have introduced a new type of G-Gaussian random fields, which contain a type of spatial white noise as a special case. Based on this result, we also have introduced a spatial-temporal G-white noise. Different from the case of linear expectation, in which the probability measure need to be known, under the uncertainty of the probability measure, the spatial white noises are intrinsically different from the temporal one.
Cite
@article{arxiv.1811.02901,
title = {Spatial and Temporal white noises under sublinear G-expectation},
author = {Ji-Xiao Jun and Shi-Ge Peng},
journal= {arXiv preprint arXiv:1811.02901},
year = {2018}
}
Comments
26pages