Boundary non-crossings of Brownian pillow
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Publication:966499
DOI10.1007/s10959-008-0191-5zbMath1197.60082arXiv0809.4560OpenAlexW3102482336MaRDI QIDQ966499
Publication date: 23 April 2010
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.4560
Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Brownian motion (60J65) Large deviations (60F10)
Related Items (6)
Boundary noncrossings of additive Wiener fields ⋮ Statistical inference on a changing extreme value dependence structure ⋮ The joint distribution of running maximum of a Slepian process ⋮ Accessing the power of tests based on set-indexed partial sums of multivariate regression residuals ⋮ Boundary non-crossing probabilities for Slepian process ⋮ Boundary non-crossing probabilities of Gaussian processes: sharp bounds and asymptotics
Cites Work
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- Small ball estimates for Brownian motion and the Brownian sheet
- Analysis of a change-point regression problem in quality control by partial sums processes and Kolmogorov type tests
- Regions of alternatives with high and low power for goodness-of-fit tests
- A strong convergence theorem for Banach space valued random variables
- Asymptotics of a boundary crossing probability of a Brownian bridge with general trend
- Tail behaviour of Gaussian processes with applications to the Brownian pillow.
- Asymptotics and bounds for multivariate Gaussian tails
- Exact \(L^2\) small balls of Gaussian processes
- Boundary crossings and the distribution function of the maximum of Brownian sheet.
- Asymptotic analysis via Mellin transforms for small deviations in \(L^2\)-norm of integrated Brownian sheets
- Weak convergence and empirical processes. With applications to statistics
- Exact asymptotics for boundary crossing probabilities of Brownian motion with piecewise linear trend
- A lower bound for boundary crossing probabilities of Brownian bridge/motion with trend
- Boundary crossing probability for Brownian motion
- Boundary crossing result for the brownian motion
- Brownian Type Boundary Crossing Probabilities for Piecewise Linear Boundary Functions
- Small ball probabilities for the Slepian Gaussian fields
- Boundary crossing probability for Brownian motion and general boundaries
- Approximations of boundary crossing probabilities for a Brownian motion
- Explicit Bounds for Approximation Rates of Boundary Crossing Probabilities for the Wiener Process
- Small ball probabilities for Gaussian random fields and tensor products of compact operators
- Logarithmic level comparison for small deviation probabilities
- Sojourn times of Brownian sheet
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