The Expected Number of Zeros of a Stationary Gaussian Process
From MaRDI portal
Publication:5514877
DOI10.1214/aoms/1177700077zbMath0139.34201OpenAlexW2016376357WikidataQ56907025 ScholiaQ56907025MaRDI QIDQ5514877
Publication date: 1965
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177700077
Related Items (30)
Approximation theory for the simulation of continuous Gaussian processes ⋮ On the second moment of the number of crossings by a stationary Gaussian process ⋮ Die Anzahl der?-Niveau-Kreuzungspunkte von stochastischen Prozessen ⋮ Fine structure of the production in low to medium Reynolds number wall turbulence ⋮ A class of limiting distributions of high level excursions of Gaussian processes ⋮ On approximating the probability of a large excursion of a nonstationary Gaussian process ⋮ Extreme value theory for stochastic processes ⋮ Asymptotic theory for curve-crossing analysis ⋮ Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations ⋮ An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process ⋮ Statistical geometry of the smoothed random telegraph signal† ⋮ The Apogee to Apogee Path Sampler ⋮ Chord-length distribution functions and Rice formulae. Application to random media ⋮ Local Times and Sample Function Properties of Stationary Gaussian Processes ⋮ Moments of the number of upcrossings of an absolutely continuous process at points of density of a sample path derivative associated set ⋮ Sharp crossings of a non-stationary stochastic process and its application to random polynomials ⋮ On crossings of Gaussian fields ⋮ Bounds for the speed of convergence in the central limit theorem in C(S) ⋮ High minima of non-smooth Gaussian processes ⋮ Estimates of convergence rate in the central limit theorem in C(S) ⋮ Zeros of smooth stationary Gaussian processes ⋮ On the time scales and structure of Lagrangian intermittency in homogeneous isotropic turbulence ⋮ Robustness of Zero Crossing Estimator ⋮ Formule de Rice en dimension d ⋮ On excursion sets, tube formulas and maxima of random fields. ⋮ Estimates of the rate of convergence of sums of independent random variables in a Banach space. II ⋮ Fibering method in some probabilistic problems ⋮ Absolute continuity of functionals of supremum type for Gaussian processes ⋮ Local maxima of a random trigonometric polynomial ⋮ Comparison and anti-concentration bounds for maxima of Gaussian random vectors
This page was built for publication: The Expected Number of Zeros of a Stationary Gaussian Process
