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arxiv: 1604.03157 · v2 · pith:ZOXJYRS2new · submitted 2016-04-11 · 🧮 math.PR

Asymptotic behavior of weighted power variations of fractional Brownian motion in Brownian time

classification 🧮 math.PR
keywords brownianmotionfractionalasymptoticbehaviorpowertimevariations
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We study the asymptotic behavior of weighted power variations of fractional Brownian motion in Brownian time Z_t:= X_{Y_t}, t >= 0, where X is a fractional Brownian motion and Y is an independent Brownian motion.

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