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References

  1. M. Abundo.  Some conditional crossing results of Brownian motion over a piecewise linear boundary. Statist. Probab. Lett. 58 (2002), no. 2, 131-145. Math. Review 2003h:60117
  2. L. Benghin, E. Orsingher.  On the maximum of the generalised Brownian Bridge. Liet. Matem. Rink 39 (1999), no. 2, 200-213 Math. Review 2001c:60057
  3. W. Bischoff, E. Hashorva, J. Huesler, F. Miller. Asymptotics of a boundary crossing probability of a Brownian bridge with general trend. Methodol. Comput. Appl. Probab. 5 (2003a), no. 3, 271-287. Math. Review 2004j:60055
  4. W. Bischoff, E. Hashorva, J. Huesler, F. Miller. Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test. Ann. Inst. Statist. Math. 55  (2003b), no. 4, 849-864. Math. Review 2004i:60115
  5. W. Bischoff, E. Hashorva, J. Huesler, F. Miller. 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. Statist. Probab. Lett. 66 (2004), no. 2, 105-115. Math. Review 2004m:60074
  6. A. Janssen, M. Kunz. Brownian type boundary crossing probabilities for piecewise linear boundary functions. Comm. Statist. Theory Methods 33, (2004), no. 7, 1445-1464. Math. Review 2005j:60077
  7. M. Ledoux. Isoperimetry and Gaussian analysis. Lectures on probability theory and statistics. Lecture Notes in Math. 1648, (1996),  Springer. Math. Review 99h:60002
  8. M. Lifshits, Z. Shi.  The first exit time of the Brownian motion form a parabolic domain. Bernulli 8 (2002), no. 6, 745-765. Math. Review 2004d:60213
  9. A. Novikov, V. Frishling, N. Kordzakhia. Approximations of boundary crossing probabilities for a Brownian motion. J. Appl. Probab. 36 (1999), 1019-1030. Math. Review 2001f:60090
  10. K. Poetzelberger, L. Wang. Boundary crossing probability for Brownian motion. J. Appl. Probab. 38 (2001), 152-164. Math. Review 2002a:60138
  11. T.H. Scheike. A boundary crossing result for Brownian motion. J. Appl. Probab. 29 (1992), 448-453. Math. Review 93e:60166
  12. L. Wang, K. Poetzelberger.  Boundary crossing probability for Brownian motion and general boundaries. J. Appl. Probab. 34 (1997), 54-65. Math. Review 97h:60042
  13. Varadhan, S.R.S. Large deviations and applications. S.I.A.M. Philadelphia. CBMS-NSF Regional Conference Series in Applied Mathematics, 46. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1984. Math. Review 86h:60067b
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