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Hurst function estimation

Published in The Annals of Statistics • Apr 1, 2020
Authors:
Jinqi Shen
,
Tailen Hsing

Abstract

This paper considers a wide range of issues concerning the estimation of the Hurst function of a multifractional Brownian motion when the process is observed on a regular grid. A theoretical lower bound for the minimax risk of this inference problem is established for a wide class of smooth Hurst fu...

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