Ask a Question

Prefer a chat interface with context about you and your work?

LIMIT BEHAVIORS FOR THE INCREMENTS OF A d-DIMENSIONAL MULTI-PARAMETER GAUSSIAN PROCESS

LIMIT BEHAVIORS FOR THE INCREMENTS OF A d-DIMENSIONAL MULTI-PARAMETER GAUSSIAN PROCESS

In this paper, we establish limit theorems containing both the moduli of continuity and the large incremental results for finite dimensional Gaussian processes with N parameters, via estimating upper bounds of large deviation probabilities on suprema of the Gaussian processes.