Anderson, T. (1960). A Modification of the Sequential
Probability Ratio Test to Reduce the Sample Size.
Ann. Math. Statist., 31(1):165–197.
Billingsley, P. (1995). Probability and Measure. John Wiley,
New York, third edition.
Borodin, A. and Salminen, P. (2002). Handbook of Brownian
motion - facts and formulae. Birkhauser Verlag,
2 edition.
Corless, R., Gonnet, G., Hare, E., Jeffrey, D., and Knuth, D. (1996). On the Lambert W function. Adv. Computational
Math., 5:329–359.
Daniels, H. (1996). Approximating the first crossing-time
density for a curved boundary. Bernoulli, 2:133–143.
Durbin, J. (1971). Boundary crossing probabilities for the
Brownian motion and Poisson processes and techniques
for computing the power of the Kolmogorov-Smirnov
test. J. Appl. Prob., 8:431–453.
Durbin, J. (1992). The first-passage density of the Brownian
motion process to a curved boundary. J. Appl.
Prob., 29:291–304.
Feller, W. (1971). An Introduction to Probability Theory
and its Applications, volume 2. John Wiley, 2 edition.
Fishman, G. S. (1996). Monte Carlo. Springer Series in
Operations Research. Springer-Verlag, New York. Concepts,
algorithms, and applications.
Hall, W. (1997). The distribution of Brownian motion on
linear stopping boundaries. Sequential Anal., 4:345–
352.
Hollander, M. and Wolfe, D. A. (1999). Nonparametric
statistical methods. Wiley Series in Probability and
Statistics: Texts and References Section. John Wiley
& Sons Inc., New York, second edition. A Wiley-
Interscience Publication.
Lerche, H. R. (1986). Boundary Crossing of Brownian
Motion. Lecture Notes in Statistics. Springer-Verlag.
Li, W. V. (2003). The first exit time of a Brownian motion
from an unbounded convex domain. Ann. Prob.,
31(2):1078–1096.
Loader, C. and Deely, J. (1987). Computations of Boundary
Crossing Probabilities for the Wiener Process. J.
Stat. Comp. Simul., 27:96–105.
Novikov, A., Frishling, V., and Kordzakhia, N. (1999).
Approximation of boundary crossing probabilities for
a Brownian motion. J. Appl. Prob., 36:1019–1030.
Park, C. and Schuurmann, F. (1976). Evaluation of barrier
crossing probabilities for Wiener path. J. Appl.
Prob., 17:197–201.
Potzelberger, K. and Wang, L. (2001). Boundary crossing
probability for Brownian motion. J. Appl. Prob.,
38:152–164.
Revuz, D. and Yor, M. (1999). Continuous martingales
and Brownian motion, volume 293 of Grundlehren der
Mathematischen Wissenschaften [Fundamental Principles
of Mathematical Sciences]. Springer-Verlag,
Berlin, third edition.
Robbins, H. and Siegmund, D. (1970). Boundary crossing
probabilities for the Wiener process and sample sums.
Ann. Math. Statist., 41:1410–1429.
Robert, C. and Casella, G. (2004). Monte Carlo Statistical
Methods. Springer-Verlag, second edition.
Wang, L. and Potzelberger, K. (1997). Boundary crossing
probability for Brownian motion and general boundaries.
J. Appl. Prob., 34:54–65.