On the Variance of the Number of Zeros of a Stationary Gaussian Process
From MaRDI portal
Publication:5656157
DOI10.1214/aoms/1177692560zbMath0244.60029OpenAlexW2057849835MaRDI QIDQ5656157
Publication date: 1972
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177692560
Related Items (13)
Conditions for the finiteness of the moments of the volume of level sets ⋮ Number of critical points of a Gaussian random field: condition for a finite variance ⋮ On the second moment of the number of crossings by a stationary Gaussian process ⋮ A second moment bound for critical points of planar Gaussian fields in shrinking height windows ⋮ Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: Crossings and extremes ⋮ An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process ⋮ Winding number for stationary Gaussian processes using real variables ⋮ On the finiteness of the moments of the measure of level sets of random fields ⋮ Necessary and sufficient conditions for the finiteness of the second moment of the measure of level sets ⋮ Multiple Wiener-Itô integral expansions for level-crossing-count functionals ⋮ Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields ⋮ Zeros of smooth stationary Gaussian processes ⋮ Variance linearity for real Gaussian zeros
This page was built for publication: On the Variance of the Number of Zeros of a Stationary Gaussian Process
