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The Moments of the Number of Crossings of a Level by a Stationary Normal Process

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Publication:5511746
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DOI10.1214/aoms/1177699794zbMath0137.35603OpenAlexW2046683384MaRDI QIDQ5511746

M. Ross Leadbetter

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/1177699794


zbMATH Keywords

probability theory



Related Items (11)

A note on the moments of the number of axis-crossings by a stochastic process ⋮ Number of critical points of a Gaussian random field: condition for a finite variance ⋮ Extreme value theory for stochastic processes ⋮ Limit Theorems for Excursion Sets of Stationary Random Fields ⋮ An interview with Ross Leadbetter ⋮ 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 ⋮ Unnamed Item ⋮ Zeros of smooth stationary Gaussian processes ⋮ Absolute convergence of Fourier series of periodic stochastic processes and its applications ⋮ Local maxima of a random trigonometric polynomial






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