Conference Proceedings

James-Stein state space filter

JH Manton, V Krishnamurthy, HV Poor

Proceedings of the IEEE Conference on Decision and Control | IEEE | Published : 1997

Abstract

In 1961, James and Stein discovered a remarkable estimator which dominates the maximum-likelihood estimate of the mean of a p-variate normal distribution, provided the dimension p is greater than two. This paper, by applying `James-Stein estimation theory', derives the James-Stein state filter (JSSF), which is a robust version of the Kalman filter. The JSSF is designed for situations where the parameters of the state-space evolution model are not known with any certainty.

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