Geodesic lower bound for parametric estimation with constraints

IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Volumn , Issue , 2004, Pages 469-473

  Xavier, João ^a   Barroso, Victor ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; SET THEORY; SIGNAL TO NOISE RATIO; STATISTICAL METHODS;

INTRINSIC VARIANCE LOWER BOUND (IVLB); POWER CONSTRAINT; RIEMANNIAN METRIC; RIEMANNIAN STRUCTURE;

GEODESY;

EID: 21644438216     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. W. Boothby. An Introduction to Differentiable Manifolds and Riemannian Geometry. New York: Academic Press.
2. S. Gallot, D. Hulin, and J. Lafontaine. Riemannian Geometry, 2nd ed. Springer-Verlag.
3. H. Hicks, "A Cramér-Rao type lower bound for estimators with values in a manifold," Journal of Multivariate Analysis, no. 38, pp. 245-261, 1991.
4. J. Xavier and V. Barroso, "Intrinsic distance lower bound for unbiased estimators on Riemannian manifolds," Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'02), Orlando, Florida, USA, May 2002.
5. J. Xavier and V. Barroso, "Intrinsic variance lower bound for inference problems on Riemannian manifolds," Proceedings of the 10th Mediterranean Conference on Control and Automation (MED'2002), Lisbon, Portugal, July 2002.
6. J. Xavier and V. Barroso, "The Riemannian geometry of certain parameter estimation problems with singular Fisher information matrices," Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'04), Montreal, Quebec, Canada, May 2004.
7. R. Bhattacharya and V. Patrangenaru, "Large sample theory of intrinsic and extrinsic sample means on manifolds 1," The Annals of Statistics, vol. 31, no.1, pp.1-29, 2003.