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Seminar on Probability and Statistics Wednesday December 17 2008 Tokyo 002 1:40-2:50 pm
Goodness of fit tests for ergodic diffusions by discrete sampling schemes
Ilia Negri University of Bergamo, Italy Abstract
We consider a nonparametric goodness of fit test problem for
the drift coefficient of one-dimensional ergodic diffusions,
where the diffusion coefficient is a nuisance function which
is estimated in some sense. Using a theory for the continuous
observation case, we construct two kinds of tests based on
different types of discrete observations, namely, the data
observed discretely in time or in space. We prove that
the limit distribution of our tests is the supremum of
the standard Brownian motion, and thus our tests are
asymptotically distribution free. We also show that
our tests are consistent under any fixed alternatives.
joint with Yoichi Nishiyama (Inst. Statist. Math.) |
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