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Shrinkage strategies in some multiple multi-factor dynamical systems

Sévérien Nkurunziza — 2012

ESAIM: Probability and Statistics

In this paper, we are interested in estimation problem for the drift parameters matrices of independent multivariate diffusion processes. More specifically, we consider the case where the -parameters matrices are supposed to satisfy some uncertain constraints. Given such an uncertainty, we develop shrinkage estimators which improve over the performance of the maximum likelihood estimator (MLE). Under an asymptotic distributional quadratic risk criterion, we study the relative dominance of the established...

Shrinkage strategies in some multiple multi-factor dynamical systems

Sévérien Nkurunziza — 2012

ESAIM: Probability and Statistics

In this paper, we are interested in estimation problem for the drift parameters matrices of independent multivariate diffusion processes. More specifically, we consider the case where the -parameters matrices are supposed to satisfy some uncertain constraints. Given such an uncertainty, we develop shrinkage estimators which improve over the performance of the maximum likelihood estimator (MLE). Under an asymptotic distributional quadratic risk criterion, we study the relative dominance of the established...

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