A note on efficient simulation of multidimensional spatial autoregressive processes

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Philipp Otto

Externe Organisationen

  • Europa-Universität Viadrina Frankfurt (Oder)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)4547-4558
Seitenumfang12
FachzeitschriftCommunications in Statistics - Simulation and Computation
Jahrgang46
Ausgabenummer6
PublikationsstatusVeröffentlicht - 25 Jan. 2017
Extern publiziertJa

Abstract

In applications of spatial statistics, it is necessary to compute the product of some matrix W of spatial weights and a vector y of observations. The weighting matrix often needs to be adapted to the specific problems, such that the computation of Wy cannot necessarily be done with available R-packages. Hence, this article suggests one possibility treating such issues. The proposed technique avoids the computation of the matrix product by calculating each entry of Wy separately. Initially, a specific spatial autoregressive process is introduced. The performance of the proposed program is briefly compared to a basic program using the matrix multiplication.

ASJC Scopus Sachgebiete

Zitieren

A note on efficient simulation of multidimensional spatial autoregressive processes. / Otto, Philipp.
in: Communications in Statistics - Simulation and Computation, Jahrgang 46, Nr. 6, 25.01.2017, S. 4547-4558.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Download
@article{51aa030cc55b4182ae91819b1a1fc251,
title = "A note on efficient simulation of multidimensional spatial autoregressive processes",
abstract = "In applications of spatial statistics, it is necessary to compute the product of some matrix W of spatial weights and a vector y of observations. The weighting matrix often needs to be adapted to the specific problems, such that the computation of Wy cannot necessarily be done with available R-packages. Hence, this article suggests one possibility treating such issues. The proposed technique avoids the computation of the matrix product by calculating each entry of Wy separately. Initially, a specific spatial autoregressive process is introduced. The performance of the proposed program is briefly compared to a basic program using the matrix multiplication.",
keywords = "Curse of dimensionality, Efficient simulation in R, Spatial autoregressive model",
author = "Philipp Otto",
note = "Publisher Copyright: {\textcopyright} 2017 Taylor & Francis Group, LLC.",
year = "2017",
month = jan,
day = "25",
doi = "10.1080/03610918.2015.1122050",
language = "English",
volume = "46",
pages = "4547--4558",
journal = "Communications in Statistics - Simulation and Computation",
issn = "1532-4141",
publisher = "Taylor and Francis Ltd.",
number = "6",

}

Download

TY - JOUR

T1 - A note on efficient simulation of multidimensional spatial autoregressive processes

AU - Otto, Philipp

N1 - Publisher Copyright: © 2017 Taylor & Francis Group, LLC.

PY - 2017/1/25

Y1 - 2017/1/25

N2 - In applications of spatial statistics, it is necessary to compute the product of some matrix W of spatial weights and a vector y of observations. The weighting matrix often needs to be adapted to the specific problems, such that the computation of Wy cannot necessarily be done with available R-packages. Hence, this article suggests one possibility treating such issues. The proposed technique avoids the computation of the matrix product by calculating each entry of Wy separately. Initially, a specific spatial autoregressive process is introduced. The performance of the proposed program is briefly compared to a basic program using the matrix multiplication.

AB - In applications of spatial statistics, it is necessary to compute the product of some matrix W of spatial weights and a vector y of observations. The weighting matrix often needs to be adapted to the specific problems, such that the computation of Wy cannot necessarily be done with available R-packages. Hence, this article suggests one possibility treating such issues. The proposed technique avoids the computation of the matrix product by calculating each entry of Wy separately. Initially, a specific spatial autoregressive process is introduced. The performance of the proposed program is briefly compared to a basic program using the matrix multiplication.

KW - Curse of dimensionality

KW - Efficient simulation in R

KW - Spatial autoregressive model

UR - http://www.scopus.com/inward/record.url?scp=85010635724&partnerID=8YFLogxK

U2 - 10.1080/03610918.2015.1122050

DO - 10.1080/03610918.2015.1122050

M3 - Article

VL - 46

SP - 4547

EP - 4558

JO - Communications in Statistics - Simulation and Computation

JF - Communications in Statistics - Simulation and Computation

SN - 1532-4141

IS - 6

ER -