A Cramér-Rao type lower bound for estimators with values in a manifold

Journal of Multivariate Analysis

Volumn 38, Issue 2, 1991, Pages 245-261

  Hendriks, Harrie ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

covariance; Cram r Rao inequality; efficiency; exponential family of probability distributions; Fisher information; Fisher von Mises distributions; Hessian; integral manifold; mean location; minimum variance unbiased estimation; unbiased estimators with values in a manifold; Weingarten map

Indexed keywords

EID: 0000464675     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/0047-259X(91)90044-3     Document Type: Article

References (11)

1. Dispersion on a sphere
2. A Cramér-Rao type inequality for random variables in Euclidean manifolds
3. On the attainment of the Cramér-Rao lower bound