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Weak convergence of a nonlinear functional of a stationary Gaussian process. Application to the local time

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Publication:5932676
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DOI10.1023/A:1006773016942zbMath0969.60030OpenAlexW1530494186MaRDI QIDQ5932676

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Publication date: 12 June 2001

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006773016942


zbMATH Keywords

weak convergencedistributional limit theoremlocal timenonlinear functionalnumber of crossingsstationary Gaussian process


Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Functional limit theorems; invariance principles (60F17)


Related Items (2)

Volatility estimation of Gaussian Ornstein-Uhlenbeck processes of the second kind ⋮ Power variation for Gaussian processes with stationary increments






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