Almost sure central limit theorems for the maxima of Gaussian functions

DOI10.1080/03610926.2020.1871019OpenAlexW3119380856MaRDI QIDQ5104517

Zhongquan Tan, Jiamin Shao, Wenyi Song

Publication date: 14 September 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1871019

zbMATH Keywords

maxima almost sure central limit theorem stationary Gaussian sequences chi-random sequences Gaussian order statistic sequences

Mathematics Subject Classification ID

Bayesian inference (62F15) Extreme value theory; extremal stochastic processes (60G70)

Related Items (2)

The asymptotic relation between the first crossing point and the last exit time of Gaussian order statistics sequences ⋮ On the limit properties of the last exit time and the first crossing point for the stationary dependent chi-sequences

Cites Work

On almost sure max-limit theorems
Log-likelihood ratio test for detecting transient change
A test for additive outliers applicable to long-memory time series
Extremes and related properties of random sequences and processes
Almost sure limit theorems for the maximum of stationary Gaussian sequences
On a test statistic for linear trend
A test for a conjunction
Extremes of order statistics of stationary processes
Almost sure limit theorems for a stationary normal sequence
Limit theorems for extremes of strongly dependent cyclo-stationary $\chi $-processes
An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data
Exact asymptotics and limit theorems for supremum of stationary $\chi$-processes over a random interval
Almost sure asymptotics for extremes of non-stationary Gaussian random fields
On the probability of conjunctions of stationary Gaussian processes
An almost sure limit theorem for the maxima of smooth stationary Gaussian processes
An extension of almost sure central limit theorem for self-normalized products of sums for mixing sequences
Comparison Inequalities for Order Statistics of Gaussian Arrays
Behaviour of χ² processes at extrema
On Strong Versions of the Central Limit Theorem
An almost everywhere central limit theorem
Extreme values and crossings for theX²-Process and Other Functions of Multidimensional Gaussian Processes, by Reliability Applications
Some properties of the crossings process generated by a stationary χ² process
Almost Sure Convergence in Extreme Value Theory
Limit Theorem for High Levela-Upcrossings by $\chi$-Process
Almost sure limit theorem for the order statistics of stationary Gaussian sequences
On the maxima of continuous and discrete time Gaussian order statistics processes
Almost sure central limit theorem for the location and height of extreme order statistics and high values
Almost Sure Limit Theorems for Gaussian Sequences
On maxima of chi-processes over threshold dependent grids

This page was built for publication: Almost sure central limit theorems for the maxima of Gaussian functions