Extrinsic vs intrinsic means on the circle

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 8085 LNCS, Issue , 2013, Pages 433-440

  Hotz, Thomas ^a  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC RELATIVE EFFICIENCY; CONFIDENCE SETS; EXTRINSIC AND INTRINSIC MEANS; INTRINSIC MEANS; UNDERLYING DISTRIBUTION; UNIMODAL;

INFORMATION SCIENCE;

OPTIMIZATION;

EID: 84884957198     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-40020-9_47     Document Type: Conference Paper

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3. p center of mass: existence, uniqueness, and convexity. Proc. Amer. Math. Soc. 139(2), 655-673 (2011)
4. Arnaudon, M., Miclo, L.: Means in complete manifolds: uniqueness and approximation. ESAIM: Probability and Statistics (eFirst) (2013)
5. Hotz, T., Huckemann, S.: Intrinsic means on the circle: Uniqueness, locus and asymptotics. arXiv.org, 1108.2141 (2011)
6. McKilliam, R.G., Quinn, B.G., Clarkson, I.V.L.: Direction estimation by minimum squared arc length. IEEE Transactions on Signal Processing 60(5), 2115-2124 (2012)
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8. Bhattacharya, R.N., Patrangenaru, V.: Large sample theory of intrinsic and extrinsic sample means on manifolds I. The Annals of Statistics 31(1), 1-29 (2003)
9. Fisher, N.I., Lewis, T.: Large sample theory of intrinsic and extrinsic sample means on manifolds I 70(2), 333-341 (1983)