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Estimation for misspecified ergodic diffusion processes from discrete observations

Masayuki UchidaNakahiro Yoshida — 2011

ESAIM: Probability and Statistics

The joint estimation of both drift and diffusion coefficient parameters is treated under the situation where the data are discretely observed from an ergodic diffusion process and where the statistical model may or may not include the true diffusion process. We consider the minimum contrast estimator, which is equivalent to the maximum likelihood type estimator, obtained from the contrast function based on a locally Gaussian approximation of the transition density. The asymptotic normality of the...

Estimation for misspecified ergodic diffusion processes from discrete observations

Masayuki UchidaNakahiro Yoshida — 2012

ESAIM: Probability and Statistics

The joint estimation of both drift and diffusion coefficient parameters is treated under the situation where the data are discretely observed from an ergodic diffusion process and where the statistical model may or may not include the true diffusion process. We consider the minimum contrast estimator, which is equivalent to the maximum likelihood type estimator, obtained from the contrast function based on a locally Gaussian approximation of the transition density. The asymptotic normality of...

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