On maxima of periodograms of stationary processes
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Publication:834359
DOI10.1214/08-AOS590zbMath1206.62017arXiv0801.1357OpenAlexW2962751786MaRDI QIDQ834359
Publication date: 19 August 2009
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.1357
Asymptotic distribution theory in statistics (62E20) Inference from stochastic processes and spectral analysis (62M15) Large deviations (60F10)
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Cites Work
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- The maximum of the periodogram
- Time series: theory and methods
- Extensions of results of Komlós, Major, and Tusnády to the multivariate case
- On tail probabilities for martingales
- The maximum of the periodogram of a non-Gaussian sequence.
- On weighted \(U\)-statistics for stationary processes.
- Asymptotic spectral theory for nonlinear time series
- Strong invariance principles for dependent random variables
- A Recursive Algorithm for Null Distributions for Outliers: I. Gamma Samples
- Limit theorems for iterated random functions
- Some asymptotic results for the periodogram of a stationary time series
- Nonlinear system theory: Another look at dependence
- The Maximum Deviation of Sample Spectral Densities
- Large deviations of sums of independent random variables
