Factorable continuity of random fields, with quantitative estimation
arXiv:1505.02839
Abstract
We study in this paper the sufficient conditions for enhanced continuity of random fields, i.e. such that the modulus of its continuity allows the factorable representation by the product of random variable on the deterministic module of continuity. We estimate also the ordinary and (possible) exponential moments of these random variables. We consider also the case of random fields with heavy tails of distribution and the so-called rectangle its continuity.
References in corpus (5)
- Support of Borelian Measures in Separable Banach Spaces
- Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces
- H{ö}lder continuity of random processes
- Central Limit Theorem in Holder spaces in the terms of majorizing measures
- Problem of Estimation of Fractional Derivative for a Spectral Function of Gaussian Stationary Processes