Large deviations for stochastic flows of diffeomorphisms

Details Large deviations for stochastic flows of diffeomorphisms Large deviations for stochastic flows of diffeomorphisms

2010-02-23

arxiv.org/abs/1002.4295v1

Bernoulli 2010, Vol. 16, No. 1, 234-257

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.3150/09-BEJ203 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/09-BEJ203

A large deviation principle is established for a general class of stochastic
flows in the small noise limit. This result is then applied to a Bayesian
formulation of an image matching problem, and an approximate maximum likelihood
property is shown for the solution of an optimization problem involving the
large deviations rate function.

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