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We first present two convergence results about the second-orderquadratic variations of the subfractional Brownian motion: the first is a deterministicasymptotic expansion; the second is a central limit theorem. Next we combine theseresults and concentration inequalities to build confidence intervals for the self-similarityparameter associated with one-dimensional subfractional Brownian motion

Remarks on Confidence Intervals for Self-Similarity Parameter of a Subfractional Brownian Motion