A lower bound for boundary crossing probabilities of Brownian bridge/motion with trend

Author:

Bischoff Wolfgang,Hashorva Enkelejd

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference14 articles.

1. Some conditional crossing results of Brownian motion over a piece-wise linear boundary;Abundo;Statist. Probab. Lett.,2002

2. On the maximum of the generalised Brownian Bridge;Benghin;Liet. Matem. Rink,1999

3. Convergence of Probability Measures;Billingsley,1968

4. Asymptotics of a boundary crossing probability of a Brownian bridge with general trend;Bischoff;Methodology Comput. Appl. Probab.,2003

5. Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test;Bischoff;Ann. Inst. Statist. Math.,2003

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1. Boundary Non-crossing Probabilities of Gaussian Processes: Sharp Bounds and Asymptotics;Journal of Theoretical Probability;2020-03-19

2. Boundary non-crossing probabilities for fractional Brownian motion with trend;Stochastics;2015-05-12

3. The Cameron–Martin Theorem for (p-)Slepian Processes;Journal of Theoretical Probability;2015-01-04

4. Boundary noncrossings of additive Wiener fields∗;Lithuanian Mathematical Journal;2014-07

5. Boundary Non-crossings of Brownian Pillow;Journal of Theoretical Probability;2008-10-30

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