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Asymptotic behavior of weighted quadratic variation of bi-fractional Brownian motion - MaRDI portal

Asymptotic behavior of weighted quadratic variation of bi-fractional Brownian motion (Q982749)

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scientific article; zbMATH DE number 5761665
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Asymptotic behavior of weighted quadratic variation of bi-fractional Brownian motion
scientific article; zbMATH DE number 5761665

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    Asymptotic behavior of weighted quadratic variation of bi-fractional Brownian motion (English)
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    27 July 2010
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    From the author's abstract: We prove, by means of Malliavin calculus, the convergence in \(L^2\) of some properly renormalized weighted quadratic variations of bi-fractional Brownian motion (biFBM) with parameters \(H\) and \(K\), when \(H< 1/4\) and \(K\in (0,1]\).
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    bi-fractional Brownian motion
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    weighted quadratic variations
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    Malliavin calculus
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