The asymptotic relation between the first crossing point and the last exit time of Gaussian order statistics sequences
From MaRDI portal
Publication:6192314
DOI10.1007/s11766-023-4466-5arXiv2303.01088MaRDI QIDQ6192314
Publication date: 12 February 2024
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.01088
Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70)
Cites Work
- Unnamed Item
- Unnamed Item
- On limit distributions of the time of first passage over a high level
- Extremes of vector-valued Gaussian processes: exact asymptotics
- When does the surplus reach a given target?
- On first and last ruin times of Gaussian processes
- Extremes and related properties of random sequences and processes
- Limit distributions for the maxima of stationary Gaussian processes
- On limit distributions of first crossing points of Gaussian sequences
- Almost sure limiting behaviour of first crossing points of Gaussian sequences
- Approximations in the problem of level crossing by a compound renewal process
- An Erdős-Révész type law of the iterated logarithm for order statistics of a stationary Gaussian process
- Extremes of order statistics of stationary processes
- An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data
- On the probability of conjunctions of stationary Gaussian processes
- Comparison Inequalities for Order Statistics of Gaussian Arrays
- Limit distribution of the last exit time for stationary random sequences
- The law of the iterated logarithm for the last exit time of independent random sequences
- The limiting behaviour of the last exit time for sequences of independent, identically distributed random variables
- On the maxima of continuous and discrete time Gaussian order statistics processes
- Almost sure central limit theorems for the maxima of Gaussian functions
- On the Distribution of the Last Exit Time over a Slowly Growing Linear Boundary for a Gaussian Process
- A limit theorem for the last exit time over a moving nonlinear boundary for a Gaussian process
- On the limit properties of the last exit time and the first crossing point for the stationary dependent chi-sequences
This page was built for publication: The asymptotic relation between the first crossing point and the last exit time of Gaussian order statistics sequences