Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test
From MaRDI portal
Publication:1880999
DOI10.1007/BF02523397zbMath1049.62048OpenAlexW1984545902MaRDI QIDQ1880999
Wolfgang Bischoff, Enkelejd Hashorva, Frank Miller, Juerg Hüsler
Publication date: 27 September 2004
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02523397
extreme valuesboundary crossing probabilityKolmogorov testexact asymptoticsBrownian bridge with trend
Nonparametric hypothesis testing (62G10) Large deviations (60F10) Boundary theory for Markov processes (60J50)
Related Items
Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test ⋮ Crossing probabilities for diffusion processes with piecewise continuous boundaries ⋮ Boundary noncrossings of additive Wiener fields ⋮ Robust optimal designs using a model misspecification term ⋮ Approximations for weighted Kolmogorov-Smirnov distributions via boundary crossing probabilities ⋮ On the power of the Kolmogorov test to detect the trend of a Brownian bridge with applications to a change-point problem in regression models. ⋮ Boundary non-crossing probabilities for Slepian process ⋮ Numerical approximations to distributions of weighted Kolmogorov-Smirnov statistics via integral equations ⋮ Asymptotics and bounds for multivariate Gaussian tails ⋮ An Asymptotic Result for Non Crossing Probabilities of Brownian Motion with Trend ⋮ Boundary non-crossing probabilities of Gaussian processes: sharp bounds and asymptotics ⋮ On double-boundary non-crossing probability for a class of compound processes with applications ⋮ Boundary non-crossing probabilities for fractional Brownian motion with trend ⋮ Regions of alternatives with high and low power for goodness-of-fit tests ⋮ The limit of the partial sums process of spatial least squares residuals ⋮ A lower bound for boundary crossing probabilities of Brownian bridge/motion with trend
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary crossing probabilities and statistical applications
- Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
- Limit processes for sequences of partial sums of regression residuals
- Principal component decomposition of non-parametric tests
- Asymptotics of a boundary crossing probability of a Brownian bridge with general trend
- On the power of the Kolmogorov test to detect the trend of a Brownian bridge with applications to a change-point problem in regression models.
- A functional central limit theorem for regression models
- Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test
- Boundary crossing probability for Brownian motion
- Brownian Type Boundary Crossing Probabilities for Piecewise Linear Boundary Functions
- A boundary-crossing result for Brownian motion
- Boundary crossing probability for Brownian motion and general boundaries
- Foundations of Modern Probability
- Approximations of boundary crossing probabilities for a Brownian motion
- Asymptotically optimal tests and optimal designs for testing the mean in regression models with applications to change-point problems
This page was built for publication: Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test