Limit theorem for high level $A$-upcrossings by $\chi$-field
Siniša Stamatović and Biljana Stamatović
Abstract
A Poisson limit theorem for $A$-points of upcrossings of a high
level by trajectories of the random field $\chi(t)$ is
established. Kallenberg theorem, standard results from asymptotic
methods of Gaussian process and fields and Piterbarg result of
high level intersection of $\chi$-field are exploited.