Discovering of boundedness and continuity of random fields by means of partition entropic scheme

Abstract

We construct a new sufficient conditions for boundedness or continuity of arbitrary random fields relying on the so-called partition scheme, alike in the classical majorizing measure method. We deduce also the used in the practice (statistics, method Monte-Carlo etc.) exact exponential estimates for tail of distribution of maximum for random field satisfying formulated in this report conditions.

arXiv commentarXiv admin note: text overlap with arXiv:1508.05646

References in corpus (3)

• Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
• A counterexample to a hypothesis of light tail of maximum distribution for continuous random processes with light finite-dimensional tails
• Can the tail for maximum of continuous random field be significantly more heavy than maximum of tails?