Mathematics – Probability
Scientific paper
2011-11-08
Mathematics
Probability
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.
Neuenkirch Andreas
Tindel Samy
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