The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences
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Publication:907283
DOI10.1007/s10687-011-0143-9zbMath1329.60071OpenAlexW2028669021MaRDI QIDQ907283
Zuo Xiang Peng, Saralees Nadarajah, Zhi Chao Weng
Publication date: 25 January 2016
Published in: Extremes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10687-011-0143-9
Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Strong limit theorems (60F15)
Related Items (4)
An almost sure limit theorem for the maxima of smooth stationary Gaussian processes ⋮ Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences ⋮ Limit Laws for Maxima of Contracted Stationary Gaussian Sequences ⋮ The joint distribution of the maximum and minimum of an AR(1) process
Cites Work
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- On almost sure max-limit theorems
- A formula for the tail probability of a multivariate normal distribution and its applications
- Joint behavior of point process of exceedances and partial sum from a Gaussian sequence
- Limit distribution of the sum and maximum from multivariate Gaussian sequences
- A limit theorem for the time of ruin in a Gaussian ruin problem
- Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences
- An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences
- Extremes and related properties of random sequences and processes
- Limit results for maxima in non-stationary multivariate Gaussian sequences
- On extreme-order statistics and point processes of exceedances in multivariate stationary Gaussian sequences
- Limit distributions for the maxima of stationary Gaussian processes
- Maxima and minima of stationary sequences
- On convergence of the uniform norms for Gaussian processes and linear approximation problems
- The extremes of a triangular array of normal random variables
- Almost sure limit theorems for the maximum of stationary Gaussian sequences
- A universal result in almost sure central limit theory.
- Extreme order statistics in an equally correlated Gaussian array
- Almost Sure Convergence in Extreme Value Theory
- Extremes in multivariate stationary normal sequences
- On the asymptotic joint distribution of the sum and maximum of stationary normal random variables
- Limit Theorems for the Maximum Term in Stationary Sequences
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