A Cramér-Rao type lower bound for estimators with values in a manifold
A Cramér-Rao type lower bound for minimum loss unbiased estimators with values in a manifold is derived, and the corresponding notion of efficiency is investigated. A by-product is a generalisation of the concept of covariance of a multivariate statistic to one of a statistic with values in a manifold.
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Volume (Year): 38 (1991)
Issue (Month): 2 (August)
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