A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China

To investigate the variability of HFMD in each county of Wenzhou, a spatial-temporal ARMA model is presented, and a general Bayesian framework is given for parameter estimation. The proposed model has two advantages: (i) allowing time series to be correlated, thus it can describe the series both spa...

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Main Authors: Jie Li, Yanjun Fu, Ancha Xu, Zumu Zhou, Weiming Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/238724
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author Jie Li
Yanjun Fu
Ancha Xu
Zumu Zhou
Weiming Wang
author_facet Jie Li
Yanjun Fu
Ancha Xu
Zumu Zhou
Weiming Wang
author_sort Jie Li
collection DOAJ
description To investigate the variability of HFMD in each county of Wenzhou, a spatial-temporal ARMA model is presented, and a general Bayesian framework is given for parameter estimation. The proposed model has two advantages: (i) allowing time series to be correlated, thus it can describe the series both spatially and temporally; (ii) implementing forecast easily. Based on the HFMD data in Wenzhou, we find that HFMD had positive spatial autocorrelation and the incidence seasonal peak was between May and July. In the county-level analysis, we find that after first-order difference the spatial-temporal ARMA (0,0)×(1,0)12 model provides an adequate fit to the data.
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spelling doaj-art-e9dbab568a4646b9a0ab58a900836b822025-08-20T02:21:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/238724238724A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, ChinaJie Li0Yanjun Fu1Ancha Xu2Zumu Zhou3Weiming Wang4College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaWenzhou Center for Disease Control and Prevention, Wenzhou 325000, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaTo investigate the variability of HFMD in each county of Wenzhou, a spatial-temporal ARMA model is presented, and a general Bayesian framework is given for parameter estimation. The proposed model has two advantages: (i) allowing time series to be correlated, thus it can describe the series both spatially and temporally; (ii) implementing forecast easily. Based on the HFMD data in Wenzhou, we find that HFMD had positive spatial autocorrelation and the incidence seasonal peak was between May and July. In the county-level analysis, we find that after first-order difference the spatial-temporal ARMA (0,0)×(1,0)12 model provides an adequate fit to the data.http://dx.doi.org/10.1155/2014/238724
spellingShingle Jie Li
Yanjun Fu
Ancha Xu
Zumu Zhou
Weiming Wang
A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
Abstract and Applied Analysis
title A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
title_full A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
title_fullStr A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
title_full_unstemmed A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
title_short A Spatial-Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China
title_sort spatial temporal arma model of the incidence of hand foot and mouth disease in wenzhou china
url http://dx.doi.org/10.1155/2014/238724
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