Results 31 to 40 of about 210,378 (309)
Brownian Motions of Ellipsoids [PDF]
Transactions of the American Mathematical Society, 1986 The object of this paper is to provide an elementary treatment (involving no differential geometry) of Brownian motions of ellipsoids, and, in particular, of some remarkable results first obtained by Dynkin. The canonical right-invariant Brownian motion G = { G ( t ) } G = \{ G(t)\}
James Norris +2 more
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Journal of Mathematics, 2022 In this paper, we consider the fractional-stochastic Boussinesq-Burger system (FSBBS) generated by the multiplicative Brownian motion. The Jacobi elliptic function techniques are used to create creative elliptic, hyperbolic, and rational fractional ...
Wael W. Mohammed +2 more
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Limits of bifractional Brownian noises [PDF]
, 2008 Let $B^{H,K}=(B^{H,K}_{t}, t\geq 0)$ be a bifractional Brownian motion with two parameters $H\in (0,1)$ and $K\in(0,1]$. The main result of this paper is that the increment process generated by the bifractional Brownian motion $(B^{H,K}_{h+t} -B^{H,K}_{h}
Maejima, Makoto, Tudor, Ciprian
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AIMS Mathematics, 2022 We consider the nonergodic Gaussian Ornstein-Uhlenbeck processes of the second kind defined by $ dX_t = \theta X_tdt+dY_t^{(1)}, t\geq 0, X_0 = 0 $ with an unknown parameter $ \theta > 0, $ where $ dY_t^{(1)} = e^{-t}dG_{a_{t}} $ and $ \{G_t, t\geq 0\}
Huantian Xie, Nenghui Kuang
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Probability Theory and Related Fields, 2013 We consider processes which have the distribution of standard Brownian motion (in the forward direction of time) starting from random points on the trajectory which accumulate at $-\infty$. We show that these processes do not have to have the distribution of standard Brownian motion in the backward direction of time, no matter which random time we take
Krzysztof Burdzy, Michael Scheutzow
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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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100 years of Einstein's theory of Brownian motion: from pollen grains to protein trains [PDF]
, 2005 Experimental verification of the theoretical predictions made by Albert Einstein in his paper, published in 1905, on the molecular mechanisms of Brownian motion established the existence of atoms.
Chowdhury, Debashish
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Is a Brownian Motion Skew? [PDF]
Scandinavian Journal of Statistics, 2013 ABSTRACTWe study the asymptotic behaviour of the maximum likelihood estimator corresponding to the observation of a trajectory of a skew Brownian motion, through a uniform time discretization. We characterize the speed of convergence and the limiting distribution when the step size goes to zero, which in this case are non‐classical, under the null ...
Ernesto Mordecki +4 more
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Pricing European Options under a Fuzzy Mixed Weighted Fractional Brownian Motion Model with Jumps
Fractal and Fractional, 2023 This study investigates the pricing formula for European options when the underlying asset follows a fuzzy mixed weighted fractional Brownian motion within a jump environment.
Feng Xu, Xiao-Jun Yang
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ON THE QHASI CLASS AND ITS EXTENSION TO SOME GAUSSIAN SHEETS
International Journal for Computational Civil and Structural Engineering, 2022 Introduced in 2018 the generalized bifractional Brownian motion is considered as an element of the quasi-helix with approximately stationary increment class of real centered Gaussian processes conditioning by parameters.
Charles El-Nouty, Darya Filatova
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