Abstract:The purpose of this paper is to provide a complete description the convergence in distribution of two subsequences of the signed cubic variation of the fractional Brownian motion with Hurst parameter H = 1/6.
We prove a central limit theorem for functionals of two independent d-dimensional fractional Brownian motions with the same Hurst index H in ( 2 d+1 , 2 d ) using the method of moments.
We prove a central limit theorem for functionals of two independent d-dimensional fractional Brownian motions with the same Hurst index H in ( 2 d+1 , 2 d ) using the method of moments.
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