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math.ST2014
Uniformly and strongly consistent estimation for the Hurst function of a Linear Multifractional Stable Motion
Antoine Ayache, Julien Hamonier
Since the middle of the 90's, multifractional processes have been introduced for overcoming some limitations of the classical Fractional Brownian Motion model. In their context, th…
math.PR2014
Linear Multifractional Stable Motion: representation via Haar basis
Julien Hamonier
The aim of this paper is to give a wavelet series representation of Linear Multifractional Stable Motion (LMSM in brief), which is more explicit than that introduced in (Ayache & H…