Asymptotic behavior of sample mean location for manifolds

Harrie Hendriks; Zinoviy Landsman

doi:10.1016/0167-7152(95)00007-0

Asymptotic behavior of sample mean location for manifolds

Harrie Hendriks, Zinoviy Landsman

Department of Statistics

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

Abstract

We investigate some asymptotic properties of empirical mean location on compact smooth submanifolds of Euclidean space. Thus our results provide the framework for asymptotic least-squares statistics inference regarding mean location in a rather general situation.

Original language	English
Pages (from-to)	169-178
Number of pages	10
Journal	Statistics and Probability Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(95)00007-0
State	Published - 1 Feb 1996

Keywords

Asymptotic behavior
Chi-squared distribution
Cut-locus
Degenerate normal distribution
Mean location
Sample mean location
Submanifolds
Weingarten mapping

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(95)00007-0

Cite this

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title = "Asymptotic behavior of sample mean location for manifolds",

abstract = "We investigate some asymptotic properties of empirical mean location on compact smooth submanifolds of Euclidean space. Thus our results provide the framework for asymptotic least-squares statistics inference regarding mean location in a rather general situation.",

keywords = "Asymptotic behavior, Chi-squared distribution, Cut-locus, Degenerate normal distribution, Mean location, Sample mean location, Submanifolds, Weingarten mapping",

author = "Harrie Hendriks and Zinoviy Landsman",

year = "1996",

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doi = "10.1016/0167-7152(95)00007-0",

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AU - Landsman, Zinoviy

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N2 - We investigate some asymptotic properties of empirical mean location on compact smooth submanifolds of Euclidean space. Thus our results provide the framework for asymptotic least-squares statistics inference regarding mean location in a rather general situation.

AB - We investigate some asymptotic properties of empirical mean location on compact smooth submanifolds of Euclidean space. Thus our results provide the framework for asymptotic least-squares statistics inference regarding mean location in a rather general situation.

KW - Asymptotic behavior

KW - Chi-squared distribution

KW - Cut-locus

KW - Degenerate normal distribution

KW - Mean location

KW - Sample mean location

KW - Submanifolds

KW - Weingarten mapping

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U2 - 10.1016/0167-7152(95)00007-0

DO - 10.1016/0167-7152(95)00007-0

M3 - Article

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SN - 0167-7152

VL - 26

SP - 169

EP - 178

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 2

ER -

Asymptotic behavior of sample mean location for manifolds

Abstract

Keywords

ASJC Scopus subject areas

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