Citation:
P. E. Greenwood, A. A. Novikov, “One-sided boundary crossing for processes with independent increments”, Teor. Veroyatnost. i Primenen., 31:2 (1986), 266–277; Theory Probab. Appl., 31:2 (1987), 221–232
This publication is cited in the following 16 articles:
N. E. Kordzakhia, A. A. Novikov, A. N. Shiryaev, “Kolmogorov's inequality for the maximum of the sum of random variables and its martingale analogues”, Theory Probab. Appl., 68:3 (2023), 457–472
E Ben-Naim, P L Krapivsky, “Statistical properties of sites visited by independent random walks”, J. Stat. Mech., 2022:10 (2022), 103208
Sloothaak F. Wachtel V. Zwart B., “First-Passage Time Asymptotics Over Moving Boundaries For Random Walk Bridges”, J. Appl. Probab., 55:2 (2018), 627–651
Theory Probab. Appl., 63:4 (2019), 613–633
Denisov D. Sakhanenko A. Wachtel V., “First-Passage Times For Random Walks With Nonidentically Distributed Increments”, Ann. Probab., 46:6 (2018), 3313–3350
Aurzada F., Kramm T., “The First Passage Time Problem Over a Moving Boundary for Asymptotically Stable Lévy Processes”, J. Theor. Probab., 29:3 (2016), 737–760
Sh. Kaji, “First passage problems over increasing boundaries for Lévy processes with exponentially decayed Lévy measures”, Theory Probab. Appl., 61:1 (2017), 140–151
Loïc Chaumont, Jacek Małecki, “On the asymptotic behavior of the density of the supremum of Lévy processes”, Ann. Inst. H. Poincaré Probab. Statist., 52:3 (2016)
V. I. Vakhtel', D. È. Denisov, “Exact asymptotics for the instant of crossing a curved boundary by an asymptotically stable random walk”, Theory Probab. Appl., 60:3 (2016), 481–500
Aurzada F., Kramm T., Savov M., “First Passage Times of Levy Processes Over a One-Sided Moving Boundary”, Markov Process. Relat. Fields, 21:1 (2015), 1–38
Mateusz Kwaśnicki, Jacek Małecki, Michał Ryznar, “Suprema of Lévy processes”, Ann. Probab., 41:3B (2013)
Wenbo V. Li, “The first exit time of a Brownian motion from an unbounded convex domain”, Ann. Probab., 31:2 (2003)
Vondracek Z., “Asymptotics of first–passage time over a one–sided stochastic boundary”, Journal of Theoretical Probability, 13:1 (2000), 279–309
K. A. Borovkov, “A bound for the distribution of a stopping time for a stochastic system”, Siberian Math. J., 37:4 (1996), 683–689
R. A. Doney, “On the asymptotic behaviour of first passage times for transient random walk”, Probab. Th. Rel. Fields, 81:2 (1989), 239
V. P. Dragalin, A. A. Novikov, “The Asymptotic Solution of the Kiefer–Weiss Problem for Processes with Independent Increments”, Theory Probab. Appl., 32:4 (1987), 617–627
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