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Asymptotic behavior of sample mean direction for spheres

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Publication:1126153
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DOI10.1006/jmva.1996.0057zbMath0864.62036OpenAlexW2152662353MaRDI QIDQ1126153

Harrie Hendriks, Zinoviy Landsman, Frits H. Ruymgaart

Publication date: 8 December 1996

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2066/29496


zbMATH Keywords

asymptotic inferencemean locationempirical mean direction on spheressample mean locationsubmanifolds of Euclidean space


Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Multivariate analysis (62H99) Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)


Related Items (5)

On the meaning of mean shape: manifold stability, locus and the two sample test ⋮ A unified approach to decision-theoretic properties of the MLEs for the mean directions of several Langevin distributions ⋮ Asymptotic data analysis on manifolds ⋮ Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions ⋮ Large sample theory of intrinsic and extrinsic sample means on manifolds. II.




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