A general drift estimation procedure for stochastic differential equations with additive fractional noise

A general drift estimation procedure for stochastic differential equations with additive fractional noise

In this paper we consider the drift estimation problem for a general differential equation driven by an additive multidimensional fractional Brownian motion, under ergodic assumptions on the drift coefficient. Our estimation procedure is based on the identification of the invariant measure, and we p...

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Veröffentlicht in:Electronic journal of statistics 2020-01, Vol.14 (1), p.1075-1136
Hauptverfasser: Panloup, Fabien, Tindel, Samy, Varvenne, Maylis
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Tindel, Samy
Varvenne, Maylis
description In this paper we consider the drift estimation problem for a general differential equation driven by an additive multidimensional fractional Brownian motion, under ergodic assumptions on the drift coefficient. Our estimation procedure is based on the identification of the invariant measure, and we provide consistency results as well as some information about the convergence rate. We also give some examples of coefficients for which the identifiability assumption for the invariant measure is satisfied.
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subjects Mathematics
Probability
Statistics
title A general drift estimation procedure for stochastic differential equations with additive fractional noise
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