A central limit theorem for Lipschitz–Killing curvatures of Gaussian excursions

This publication has 13 references indexed in Scilit:

• Number of critical points of a Gaussian random field: Condition for a finite variance
  Statistics & Probability Letters, 2016
• Second-order properties and central limit theorems for geometric functionals of Boolean models
  The Annals of Applied Probability, 2016
• On the existence of paths between points in high level excursion sets of Gaussian random fields
  The Annals of Probability, 2014
• Applications of Random Fields in Human Brain Mapping
  2001
• Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: Crossings and extremes
  Stochastic Processes and their Applications, 1997
• Chaos expansions of double intersection local time of Brownian motion in Rd and renormalization
  Stochastic Processes and their Applications, 1995
• Limit Theorems for Nonlinear Functionals of a Stationary Gaussian Sequence of Vectors
  The Annals of Probability, 1994
• Multiple Wiener-itô integral expansions for level-crossing-count functionals
  Probability Theory and Related Fields, 1991
• Central limit theorems for nonlinear functionals of stationary Gaussian processes
  Probability Theory and Related Fields, 1989
• Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence
  Probability Theory and Related Fields, 1977