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arxiv: 1310.3649 · v1 · pith:GGN5LP3Bnew · submitted 2013-10-14 · 🧮 math.PR

Second order limit laws for occupation times of the fractional Brownian motion

classification 🧮 math.PR
keywords brownianfractionallawslimitmotionordersecondadditive
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We prove second order limit laws for (additive) functionals of the $d$-dimensional fractional Brownian motion with Hurst index $H=\frac{1}{d}$, using the method of moments, extending the Kallianpur-Robbins law.

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