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Abstract |
The parametric estimation of both drift and diffusion coefficient parameters for $ d $-dimensional diffusion processes with small dispersion parameter $ \varepsilon $ is stated when the data are discr...etely observed at equidistant time points $ k/n $, $ k = 0,1, cdots, n $. Using the contrast function based on a Gaussian approximation to the transition density, we present asymptotic properties for the minimum contrast estimator as $ \varepsilon $ tends to $ 0 $ and $ n $ tends to $ infty $ simultaneously.show more
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