統計数学セミナー
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Seminar on Probability and Statistics Tuesday April 8 2014 Tokyo 052 1:00-2:10 pm
Parametric estimation in fractional Ornstein-Uhlenbeck process
Alexandre Brouste Universite du Maine, France Abstract Several statistical models that imply the fractional Ornstein-Uhlenbeck (fOU) process will be presented: direct observations of the process or partial observations in an additive independent noise, continuous observations or discrete observations. In this different settings, we exhibit large sample (or high-frequency) asymptotic properties of the estimators (maximum likelihood estimator, quadratic variation based estimator, moment estimator, …) for all parameters of interest of the fOU. We also illustrate our results with the R package yuima.
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