Nonparametric Statistical Analysis of Spatially Distributed Functional Data

Sophie Dabo-Niang; Camille Ternynck; Baba Thiam; Anne Françoise Yao

doi:10.1002/9781119387916.ch8

Nonparametric Statistical Analysis of Spatially Distributed Functional Data

Sophie Dabo-Niang, Camille Ternynck, Baba Thiam, Anne Françoise Yao

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

A nonparametric estimator of the regression function of a scalar spatial variable, given a functional spatial variable is proposed. Mean square and almost complete consistencies of the estimator are obtained when the sample considered is an α-mixing sequence and composed of non-i.i.d observations. Lastly, an application to spatial prediction and numerical results is provided to illustrate the behavior of our estimator.

Original language	English
Title of host publication	Geostatistical Functional Data Analysis
Publisher	wiley
Pages	175-210
Number of pages	36
ISBN (Electronic)	9781119387916
ISBN (Print)	9781119387848
DOIs	https://doi.org/10.1002/9781119387916.ch8
Publication status	Published - 1 Jan 2021
Externally published	Yes

Access to Document

10.1002/9781119387916.ch8

Cite this

@inbook{7af14c6f607b45778dd12f7ca42fe4f2,

title = "Nonparametric Statistical Analysis of Spatially Distributed Functional Data",

abstract = "A nonparametric estimator of the regression function of a scalar spatial variable, given a functional spatial variable is proposed. Mean square and almost complete consistencies of the estimator are obtained when the sample considered is an α-mixing sequence and composed of non-i.i.d observations. Lastly, an application to spatial prediction and numerical results is provided to illustrate the behavior of our estimator.",

author = "Sophie Dabo-Niang and Camille Ternynck and Baba Thiam and Yao, \{Anne Fran{\c c}oise\}",

year = "2021",

month = jan,

day = "1",

doi = "10.1002/9781119387916.ch8",

language = "English",

isbn = "9781119387848",

pages = "175--210",

booktitle = "Geostatistical Functional Data Analysis",

publisher = "wiley",

}

TY - CHAP

T1 - Nonparametric Statistical Analysis of Spatially Distributed Functional Data

AU - Dabo-Niang, Sophie

AU - Ternynck, Camille

AU - Thiam, Baba

AU - Yao, Anne Françoise

PY - 2021/1/1

Y1 - 2021/1/1

N2 - A nonparametric estimator of the regression function of a scalar spatial variable, given a functional spatial variable is proposed. Mean square and almost complete consistencies of the estimator are obtained when the sample considered is an α-mixing sequence and composed of non-i.i.d observations. Lastly, an application to spatial prediction and numerical results is provided to illustrate the behavior of our estimator.

AB - A nonparametric estimator of the regression function of a scalar spatial variable, given a functional spatial variable is proposed. Mean square and almost complete consistencies of the estimator are obtained when the sample considered is an α-mixing sequence and composed of non-i.i.d observations. Lastly, an application to spatial prediction and numerical results is provided to illustrate the behavior of our estimator.

U2 - 10.1002/9781119387916.ch8

DO - 10.1002/9781119387916.ch8

M3 - Chapter

AN - SCOPUS:85153434751

SN - 9781119387848

SP - 175

EP - 210

BT - Geostatistical Functional Data Analysis

PB - wiley

ER -

Nonparametric Statistical Analysis of Spatially Distributed Functional Data

Abstract

Access to Document

Fingerprint

Cite this