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arxiv: 0803.2227 · v1 · submitted 2008-03-14 · 🧮 math.PR

A decomposition of the bifractional Brownian motion and some applications

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keywords browniandecompositionmotionapplicationsbifractionalsomeabsolutelycontinuous
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In this paper we show a decomposition of the bifractional Brownian motion with parameters H,K into the sum of a fractional Brownian motion with Hurst parameter HK plus a stochastic process with absolutely continuous trajectories. Some applications of this decomposition are discussed.

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