Normal approximation for stabilizing functionals

Process Level Moderate Deviations for Stabilizing Functionals

Functionals of spatial point process often satisfy a weak spatial dependence condition known as stabilization. In this paper we prove process level moderate deviation principles (MDP) for such functionals, which is a level-3 result for empirical point fields as well as a level2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We s...

Stein’s method and normal approximation of Poisson functionals

Moderate deviations for stabilizing functionals in geometric probability

The purpose of the present paper is to establish explicit bounds on moderate deviation probabilities for a rather general class of geometric functionals enjoying the stabilization property, under Poisson input and the assumption of a certain control over the growth of the moments of the functional and its radius of stabilization. Our proof techniques rely on cumulant expansions and cluster meas...

Normal Approximation for White Noise Functionals by Stein’s Method and Hida Calculus

Approximation of Non-convex Functionals in Gbv Approximation of Non-convex Functionals in Gbv