Asymptotic behavior of sample mean direction for spheres

Harrie Hendriks; Zinoviy Landsman; Frits Ruymgaart

doi:10.1006/jmva.1996.0057

Asymptotic behavior of sample mean direction for spheres

Harrie Hendriks, Zinoviy Landsman, Frits Ruymgaart

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we consider some asymptotic properties of empirical mean direction on spheres. We do not require any symmetry for the underlying density. Thus our results provide the framework for an asymptotic inference regarding mean direction under very weak model assumptions. Mean direction is a specialization of the more general concept of mean location applicable to arbitrary (compact) submanifolds of Euclidean space, to which the methods of this paper could be applied.

Original language	English
Pages (from-to)	141-152
Number of pages	12
Journal	Journal of Multivariate Analysis
Volume	59
Issue number	2
DOIs	https://doi.org/10.1006/jmva.1996.0057
State	Published - Nov 1996

Keywords

Asymptotic behavior
Mean direction
Mean location
Sample
Sample mean location
Sphere

ASJC Scopus subject areas

Statistics and Probability
Numerical Analysis
Statistics, Probability and Uncertainty

Access to Document

10.1006/jmva.1996.0057

Cite this

@article{9fa25ae281b649e694a96e0450baa775,

title = "Asymptotic behavior of sample mean direction for spheres",

abstract = "In this note we consider some asymptotic properties of empirical mean direction on spheres. We do not require any symmetry for the underlying density. Thus our results provide the framework for an asymptotic inference regarding mean direction under very weak model assumptions. Mean direction is a specialization of the more general concept of mean location applicable to arbitrary (compact) submanifolds of Euclidean space, to which the methods of this paper could be applied.",

keywords = "Asymptotic behavior, Mean direction, Mean location, Sample, Sample mean location, Sphere",

author = "Harrie Hendriks and Zinoviy Landsman and Frits Ruymgaart",

year = "1996",

month = nov,

doi = "10.1006/jmva.1996.0057",

language = "English",

volume = "59",

pages = "141--152",

journal = "Journal of Multivariate Analysis",

issn = "0047-259X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Asymptotic behavior of sample mean direction for spheres

AU - Hendriks, Harrie

AU - Landsman, Zinoviy

AU - Ruymgaart, Frits

PY - 1996/11

Y1 - 1996/11

N2 - In this note we consider some asymptotic properties of empirical mean direction on spheres. We do not require any symmetry for the underlying density. Thus our results provide the framework for an asymptotic inference regarding mean direction under very weak model assumptions. Mean direction is a specialization of the more general concept of mean location applicable to arbitrary (compact) submanifolds of Euclidean space, to which the methods of this paper could be applied.

AB - In this note we consider some asymptotic properties of empirical mean direction on spheres. We do not require any symmetry for the underlying density. Thus our results provide the framework for an asymptotic inference regarding mean direction under very weak model assumptions. Mean direction is a specialization of the more general concept of mean location applicable to arbitrary (compact) submanifolds of Euclidean space, to which the methods of this paper could be applied.

KW - Asymptotic behavior

KW - Mean direction

KW - Mean location

KW - Sample

KW - Sample mean location

KW - Sphere

UR - http://www.scopus.com/inward/record.url?scp=0030295988&partnerID=8YFLogxK

U2 - 10.1006/jmva.1996.0057

DO - 10.1006/jmva.1996.0057

M3 - Article

AN - SCOPUS:0030295988

SN - 0047-259X

VL - 59

SP - 141

EP - 152

JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

IS - 2

ER -

Asymptotic behavior of sample mean direction for spheres

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this