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A martingale approach in problems on first crossing time of nonlinear boundaries

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Publication:584830
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zbMath0524.60051MaRDI QIDQ584830

Alexander Novikov

Publication date: 1983

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

level crossingstable process


Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Stopping times; optimal stopping problems; gambling theory (60G40) Martingales with continuous parameter (60G44) Large deviations (60F10) Sample path properties (60G17) Boundary theory for Markov processes (60J50) Other special functions (33E99) Markov processes (60J99)


Related Items

Crossing an asymptotically square-root boundary by the Brownian motion ⋮ A bound for the distribution of a stopping time for a stochastic system ⋮ On distibutions of first passage times of martingales arising in some gambling problems ⋮ The Kolmogorov Inequality for the Maximum of the Sum of Random Variables and Its Martingale Analogues ⋮ On a martingale associated to generalized Ornstein-Uhlenbeck processes and an application to finance ⋮ An Exact Asymptotics for the Moment of Crossing a Curved Boundary by an Asymptotically Stable Random Walk



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