Results 31 to 40 of about 37,159 (330)
Operator Fractional Brownian Motion and Martingale Differences
Abstract and Applied Analysis, 2014 It is well known that martingale difference sequences are very useful in applications and theory. On the other hand, the operator fractional Brownian motion as an extension of the well-known fractional Brownian motion also plays an important role in both
Hongshuai Dai +2 more
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Random walks at random times: Convergence to iterated L\'{e}vy motion, fractional stable motions, and other self-similar processes [PDF]
, 2013 For a random walk defined for a doubly infinite sequence of times, we let the time parameter itself be an integer-valued process, and call the orginal process a random walk at random time.
Jung, Paul, Markowsky, Greg
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Prediction law of fractional Brownian motion [PDF]
Statistics & Probability Letters, 2017 We calculate the regular conditional future law of the fractional Brownian motion with index $H\in(0,1)$ conditioned on its past. We show that the conditional law is continuous with respect to the conditioning path. We investigate the path properties of the conditional process and the asymptotic behavior of the conditional covariance.
Viitasaari, Lauri, Sottinen, Tommi
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Asset Pricing Model Based on Fractional Brownian Motion
Fractal and Fractional, 2022 This paper introduces one unique price motion process with fractional Brownian motion. We introduce the imaginary number into the agent’s subjective probability for the reason of convergence; further, the result similar to Ito Lemma is proved.
Yu Yan, Yiming Wang
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Fractional martingales and characterization of the fractional Brownian motion [PDF]
The Annals of Probability, 2009 Published in at http://dx.doi.org/10.1214/09-AOP464 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Hu, Y, Song, J, Nualart, D
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Generating Diffusions with Fractional Brownian Motion
Communications in Mathematical Physics, 2022 AbstractWe study fast/slow systems driven by a fractional Brownian motion B with Hurst parameter $$H\in (\frac{1}{3}, 1]$$ H ∈ ( 1 3 , 1
Martin Hairer, Xue-Mei Li
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A DYNAMICAL APPROACH TO FRACTIONAL BROWNIAN MOTION [PDF]
Fractals, 1994 Herein we develop a dynamical foundation for fractional Brownian motion. A clear relation is established between the asymptotic behavior of the correlation function and diffusion in a dynamical system. Then, assuming that scaling is applicable, we establish a connection between diffusion (either standard or anomalous) and the dynamical indicator known
MANNELLA, RICCARDO +2 more
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重分数布朗运动的列维连续模(Lévy's moduli of continuity of multifractional Brownian motion)
Zhejiang Daxue xuebao. Lixue ban, 2000 This paper proposed Lévy's moduli of continuity of multifractional Brownian motion,which is a generalization of the fractional Brownian motion.
LINZheng-yan(林正炎)
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Convergence to Weighted Fractional Brownian Sheets [PDF]
, 2008 We define weighted fractional Brownian sheets, which are a class of Gaussian random fields with four parameters that include fractional Brownian sheets as special cases, and we give some of their properties.
Garzón, Johanna
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Fractional Brownian motion [PDF]
, 2006 Fractional Brownian motion is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium-or long-memory property which is in sharp contrast with martingales and Markov
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