Limit distributions for asymptotically linear statistics with spherical error

Célia Nunes; Dário Ferreira; Sandra S. Ferreira; João T. Mexia

doi:10.19139/soic.v6i3.580

Limit distributions for asymptotically linear statistics with spherical error

Célia Nunes, Dário Ferreira, Sandra S. Ferreira, João T. Mexia

CMA - Centro de Matemática e Aplicações

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

Abstract

The aim of this work is to obtain general results for the limit distributions of asymptotically linear statistics when the error is spherical, increasing non-centrality. These results apply directly to homoscedastic normal error thus to high precision measurements. We present a numerical example on cylinder volume to illustrate the usefulness of our approach.

Original language	English
Pages (from-to)	409-414
Number of pages	6
Journal	Statistics, Optimization and Information Computing
Volume	6
Issue number	3
DOIs	https://doi.org/10.19139/soic.v6i3.580
Publication status	Published - 19 Aug 2018

Keywords

Asymptotic linearity
Cylinder volume
Limit distributions
Normal distribution
Spherical densities

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10.19139/soic.v6i3.580Licence: CC BY

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title = "Limit distributions for asymptotically linear statistics with spherical error",

abstract = "The aim of this work is to obtain general results for the limit distributions of asymptotically linear statistics when the error is spherical, increasing non-centrality. These results apply directly to homoscedastic normal error thus to high precision measurements. We present a numerical example on cylinder volume to illustrate the usefulness of our approach.",

keywords = "Asymptotic linearity, Cylinder volume, Limit distributions, Normal distribution, Spherical densities",

author = "C{\'e}lia Nunes and D{\'a}rio Ferreira and Ferreira, \{Sandra S.\} and Mexia, \{Jo{\~a}o T.\}",

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year = "2018",

month = aug,

day = "19",

doi = "10.19139/soic.v6i3.580",

language = "English",

volume = "6",

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journal = "Statistics, Optimization and Information Computing",

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publisher = "International Academic Press",

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T1 - Limit distributions for asymptotically linear statistics with spherical error

AU - Nunes, Célia

AU - Ferreira, Dário

AU - Ferreira, Sandra S.

AU - Mexia, João T.

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PY - 2018/8/19

Y1 - 2018/8/19

N2 - The aim of this work is to obtain general results for the limit distributions of asymptotically linear statistics when the error is spherical, increasing non-centrality. These results apply directly to homoscedastic normal error thus to high precision measurements. We present a numerical example on cylinder volume to illustrate the usefulness of our approach.

AB - The aim of this work is to obtain general results for the limit distributions of asymptotically linear statistics when the error is spherical, increasing non-centrality. These results apply directly to homoscedastic normal error thus to high precision measurements. We present a numerical example on cylinder volume to illustrate the usefulness of our approach.

KW - Asymptotic linearity

KW - Cylinder volume

KW - Limit distributions

KW - Normal distribution

KW - Spherical densities

UR - https://www.scopus.com/pages/publications/85051795443

U2 - 10.19139/soic.v6i3.580

DO - 10.19139/soic.v6i3.580

M3 - Article

AN - SCOPUS:85051795443

SN - 2311-004X

VL - 6

SP - 409

EP - 414

JO - Statistics, Optimization and Information Computing

JF - Statistics, Optimization and Information Computing

IS - 3

ER -

Limit distributions for asymptotically linear statistics with spherical error

Abstract

Keywords

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