Drawdown and drawup for fractional Brownian motion with trend
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Publication:2312786
DOI10.1007/s10959-018-0836-yzbMath1478.60121arXiv1801.10598OpenAlexW2963836928MaRDI QIDQ2312786
Publication date: 18 July 2019
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.10598
fractional Brownian motionPickands constantPiterbarg constantdrawdowndrawupgeometric fractional Brownian motion
Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Extreme value theory; extremal stochastic processes (60G70)
Cites Work
- Unnamed Item
- Extremes of stationary Gaussian storage models
- Portfolio optimisation under non-linear drawdown constraints in a semimartingale financial model
- On asymptotic constants in the theory of extremes for Gaussian processes
- On magnitude, asymptotics and duration of drawdowns for Lévy models
- Pickands' constant \(H_{\alpha}\) does not equal \(1/\Gamma(1/\alpha)\), for small \(\alpha\)
- On maximum increase and decrease of Brownian motion
- Generalized Pickands constants and stationary max-stable processes
- An Erdös-Révész type law of the iterated logarithm for reflected fractional Brownian motion
- On generalised Piterbarg constants
- Ruin probability for Gaussian integrated processes.
- Large deviations of a storage process with fractional Brownian motion as input
- Stochastic modeling and fair valuation of drawdown insurance
- Formulas for stopped diffusion processes with stopping times based on drawdowns and drawups
- On the supremum of \(\gamma\)-reflected processes with fractional Brownian motion as input
- Exact simulation of Brown-Resnick random fields at a finite number of locations
- Queues and Lévy fluctuation theory
- On future drawdowns of Lévy processes
- On the ruin probability for physical fractional Brownian motion
- Extremes of Gaussian processes over an infinite horizon
- THE NUMÉRAIRE PROPERTY AND LONG-TERM GROWTH OPTIMALITY FOR DRAWDOWN-CONSTRAINED INVESTMENTS
- Drawdowns preceding rallies in the Brownian motion model
- Large Deviations for Gaussian Queues
- Portfolio sensitivity to changes in the maximum and the maximum drawdown
- A General Fractional White Noise Theory And Applications To Finance
- Simulation of the Asymptotic Constant in Some Fluid Models
- On Probability Characteristics of "Downfalls" in a Standard Brownian Motion
- Extremes ofγ-reflected Gaussian processes with stationary increments
- Sample path properties of reflected Gaussian processes
- On the maximum drawdown of a Brownian motion
- Uniform tail approximation of homogenous functionals of Gaussian fields
- Random Fields and Geometry
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