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arxiv: 1611.08543 · v2 · pith:5L7JN5DJnew · submitted 2016-11-25 · 🧮 math.ST · stat.TH

Asymptotic properties of the volatility estimator from high frequency data modeled by mixed fractional Brownian motion

classification 🧮 math.ST stat.TH
keywords estimatorpropertiesasymptoticbrownianfractionalmixedmotionvolatility
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Properties of mixed fractional Brownian motion has been discussed by Cheridito (2001) and Zili (2006). We have proposed an estimator of volatility parameter for a model driven by MFBM. In our article we have shown that the estimator has some desirable asymptotic properties.

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