A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise

Mathematics – Probability

Scientific paper

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15 pages

Scientific paper

We study a least square-type estimator for an unknown parameter in the drift
coefficient of a stochastic differential equation with additive fractional
noise of Hurst parameter H>1/2. The estimator is based on discrete time
observations of the stochastic differential equation, and using tools from
ergodic theory and stochastic analysis we derive its strong consistency.

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