Results 11 to 20 of about 212,713 (312)
Weighted Local Times of a Sub-fractional Brownian Motion as Hida Distributions
Jurnal Matematika Integratif, 2020 The sub-fractional Brownian motion is a Gaussian extension of the Brownian motion. It has the properties of self-similarity, continuity of the sample paths, and short-range dependence, among others.
Herry Pribawanto Suryawan
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Asymptotic Normality of Parameter Estimators for~Mixed Fractional Brownian Motion with Trend
Austrian Journal of Statistics, 2023 We investigate the mixed fractional Brownian motion of the form Xt = θt+σWt +κBtH , driven by a standard Brownian motion W and a fractional Brownian motion B H with Hurst parameter H.
Kostiantyn Ralchenko, Mykyta Yakovliev
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Brownian motion reflected on Brownian motion [PDF]
Probability Theory and Related Fields, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burdzy, Krzysztof, Nualart, David
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AIMS Mathematics, 2022 Many works have been done on Brownian motion or fractional Brownian motion, but few of them have considered the simpler type, Riemann-Liouville fractional Brownian motion. In this paper, we investigate the semilinear stochastic evolution equations driven
Xueqi Wen, Zhi Li
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Limiting Behaviors for Brownian Motion Reflected on Brownian Motion [PDF]
Methods and Applications of Analysis, 2002 The authors study a law of iterated logarithm associated to a Brownian motion reflected to another independent Brownian motion.
Chen, X., Li, Wenbo
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A modified Φ-Sobolev inequality for canonical Lévy processes and its applications
Modern Stochastics: Theory and Applications, 2023 A new modified Φ-Sobolev inequality for canonical ${L^{2}}$-Lévy processes, which are hybrid cases of the Brownian motion and pure jump-Lévy processes, is developed.
Noriyoshi Sakuma, Ryoichi Suzuki
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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
Burdzy, Krzysztof, Scheutzow, Michael
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Biosensors, 2022 Brownian motion, which is a natural phenomenon, has attracted numerous researchers and received extensive studies over the past decades. The effort contributes to the discovery of optical diffusometry, which is commonly used for micro/nano particle ...
Wei-Long Chen, Han-Sheng Chuang
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Probabilistic properties and applications of several variations of Brownian motion
Nantong Daxue xuebao. Ziran kexue ban, 2022 On the basis of standard Brownian motion, this paper discusses several kinds of variations related to standard Brownian motion in the form of probability distribution and joint distribution.
JIANG Peihua; ZHOU Qiaoyan; LAN Tianya; LIU Kexin
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