Spectral equivalence of Gaussian random functions: operator approach
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Publication:2137026
DOI10.3150/21-BEJ1396zbMath1502.60047arXiv2005.05771OpenAlexW3026026794WikidataQ114038744 ScholiaQ114038744MaRDI QIDQ2137026
Alexander I. Nazarov, Yakov Yu. Nikitin
Publication date: 16 May 2022
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05771
Random fields (60G60) Gaussian processes (60G15) Applications of operator theory in probability theory and statistics (47N30)
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- Karhunen-Loève expansions for the detrended Brownian motion
- Karhunen-Loève expansions for the \(m\)-th order detrended Brownian motion
- Spectral asymptotics for problems with integral constraints
- Exact \(L_{2}\)-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems
- Fubini's theorem for double Wiener integrals and the variance of the Brownian path
- Stochastic integrals in the plane
- Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
- Explicit formulae for time-space Brownian chaos.
- On quadratic functionals of the Brownian sheet and related processes
- Exact small ball constants for some Gaussian processes under the \(L^2\)-norm
- Lectures on Gaussian Processes
- Empirical Processes with Applications to Statistics
- Asymptotic Efficiency of Nonparametric Tests
- Karhunen-Loève expansions of mean-centered Wiener processes
- On the Distribution of the $\omega ^2 $ Statistics in the Multi-Dimensional Case
- Small ball probabilities for Gaussian random fields and tensor products of compact operators
- Stochastic Comparison of Tests
- Remarks on a Multivariate Transformation
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