In this paper, estimating upper bounds of large deviation probabilities for the increments of d-dimensional Gaussian processes in Hölder type norm, we obtain functional limit results for the increments of d-dimensional Gaussian processes in the Hölder type norm.
Bibliographical noteFunding Information:
This work was supported by the Korea Research Foundation Grant Funded by Korea Government (MOEHRD) (KRF-2006-353-C00004). This work was supported by the Brain Korea 21 Project in 2006. The authors wish to thank the referee for careful reading and helpful suggestions on this paper.
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics