Acta Mathematica Vietnamica
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Upper Bound for the Conjunction Probability of Smooth Stationary Two-dimensional Gaussian Fields
Viet-Hung Phampp. 67-77
Abstract
In this paper, we provide an upper bound for the conjunction probability of smooth stationary two-dimensional Gaussian fields. The key ingredient is the record method, which is generalized from the problem of estimating the distribution of the maximum. The given upper bound is also a good asymptotic formula.