Tail asymptotics for Shepp-statistics of Brownian motion in \(\mathbb{R}^d \)
From MaRDI portal
Publication:2303023
DOI10.1007/s10687-019-00357-zzbMath1457.60077OpenAlexW2967536307MaRDI QIDQ2303023
Longmin Wang, Dmitrii Korshunov
Publication date: 28 February 2020
Published in: Extremes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10687-019-00357-z
Markov propertyquadratic programming problemuniform double-sum methodhigh level excursion probabilityShepp-statisticsvector-valued Brownian motion
Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Brownian motion (60J65)
Related Items
Pandemic-type failures in multivariate Brownian risk models ⋮ Simultaneous ruin probability for multivariate Gaussian risk model ⋮ Simultaneous ruin probability for two-dimensional brownian risk model ⋮ Uniform bounds for ruin probability in multidimensional risk model ⋮ Finite-time ruin probability for correlated Brownian motions ⋮ Running supremum of Brownian motion in dimension 2: exact and asymptotic results
Cites Work
- Unnamed Item
- Extremes of a class of nonhomogeneous Gaussian random fields
- On asymptotic constants in the theory of extremes for Gaussian processes
- Extremes of multidimensional Gaussian processes
- Limit laws of Erdős-Rényi-Shepp type
- The asymptotic distribution of the scan statistic under uniformity
- Extremal behavior of hitting a cone by correlated Brownian motion with drift
- Extremes of vector-valued Gaussian processes with trend
- Multiscale testing of qualitative hypotheses
- Using the generalized likelihood ratio statistic for sequential detection of a change-point
- A test for a conjunction
- Extremes of Shepp statistics for the Wiener process
- Approximation of supremum of max-stable stationary processes \& Pickands constants
- Exact simulation of Brown-Resnick random fields at a finite number of locations
- Large deviations of Shepp statistics for fractional Brownian motion
- On the probability of conjunctions of stationary Gaussian processes
- A Gaussian kinematic formula
- On the Probability of Simultaneous Extremes of Two Gaussian Nonstationary Processes
- On Extremal Index of max-stable stationary processes
- Uniform tail approximation of homogenous functionals of Gaussian fields
- Radon-Nikodym Derivatives of Gaussian Measures
- Maxima of stationary Gaussian processes
- First Passage Time for a Particular Gaussian Process