Brownian Type Boundary Crossing Probabilities for Piecewise Linear Boundary Functions

DOI10.1081/STA-120037253zbMath1134.60327MaRDI QIDQ3155337

Michael Kunz, Arnold Janssen

Publication date: 14 January 2005

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

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Gaussian processes (60G15)

Related Items

Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test, Boundary non-crossings of Brownian pillow, An Asymptotic Result for Non Crossing Probabilities of Brownian Motion with Trend, Boundary non-crossing probabilities for fractional Brownian motion with trend, A lower bound for boundary crossing probabilities of Brownian bridge/motion with trend

Cites Work

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• Boundary crossing of Brownian motion. Its relation to the law of the iterated logarithm and to sequential analysis
• Two-sample goodness-of-fit tests when ties are present
• Principal component decomposition of non-parametric tests
• The first-passage density of a continuous gaussian process to a general boundary
• A boundary-crossing result for Brownian motion
• Boundary crossing probability for Brownian motion and general boundaries
• On evaluations and asymptotic approximations of first-passage-time probabilities
• Approximations of boundary crossing probabilities for a Brownian motion
• Local Asymptotic Power and Efficiency of Tests of Kolmogorov-Smirnov Type
• Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test
• Boundary Crossing Probabilities for the Wiener Process and Sample Sums
• Heuristic Approach to the Kolmogorov-Smirnov Theorems
• On Certain Confidence Contours for Distribution Functions