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On the Maximum of a Fractional Brownian Motion

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Publication:4510007
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DOI10.1137/S0040585X97977379zbMath0966.60036MaRDI QIDQ4510007

G. M. Molchan

Publication date: 19 October 2000

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)


zbMATH Keywords

fractional Brownian motionextreme valuesGaussian processesself-similar processes


Mathematics Subject Classification ID

Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Self-similar stochastic processes (60G18)


Related Items (8)

Lower tail probabilities for Gaussian processes. ⋮ Universality of the asymptotics of the one-sided exit problem for integrated processes ⋮ Exact asymptotics of small deviations for a stationary Ornstein-Uhlenbeck process and some Gaussian diffusion processes in the L p -norm, 2 ≤ p ≤ ∞ ⋮ Hitting times for Gaussian processes ⋮ Maximal Inequalities for Fractional Brownian Motion: An Overview ⋮ Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion ⋮ On the favorite points of symmetric Lévy processes ⋮ Stochastic representation and path properties of a fractional Cox–Ingersoll–Ross process




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