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

Author

Listed:
  • Jie Li
  • Yanjun Fu
  • Ancha Xu
  • Zumu Zhou
  • Weiming Wang

Abstract

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.

Suggested Citation

  • Jie Li & Yanjun Fu & Ancha Xu & Zumu Zhou & Weiming Wang, 2014. "A Spatial‐Temporal ARMA Model of the Incidence of Hand, Foot, and Mouth Disease in Wenzhou, China," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:238724
    DOI: 10.1155/2014/238724
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    References listed on IDEAS

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    1. C. A. Glasbey & D. J. Allcroft, 2008. "A spatiotemporal auto‐regressive moving average model for solar radiation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 57(3), pages 343-355, June.
    2. Yeting Zhu & Boyang Xu & Xinze Lian & Wang Lin & Zumu Zhou & Weiming Wang, 2014. "A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, March.
    3. W. R. Gilks & P. Wild, 1992. "Adaptive Rejection Sampling for Gibbs Sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(2), pages 337-348, June.
    4. J. Law, 2009. "Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology by LAWSON, A. B," Biometrics, The International Biometric Society, vol. 65(2), pages 661-662, June.
    5. Julian Besag & Jeremy York & Annie Mollié, 1991. "Bayesian image restoration, with two applications in spatial statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(1), pages 1-20, March.
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