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A penalized likelihood method for nonseparable space–time generalized additive models

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  • Ali M. Mosammam

    (University of Zanjan)

  • Jorge Mateu

    (Universitat Jaume I)

Abstract

In this paper, we study space–time generalized additive models. We apply the penalyzed likelihood method to fit generalized additive models (GAMs) for nonseparable spatio-temporal correlated data in order to improve the estimation of the response and smooth terms of GAMs. The results show that our space–time generalized additive models estimated response and smooth terms reasonable well, and in addition, the mean squared error, mean absolute deviation and coverage intervals improved considerably compared to the classic GAM. An application on particulate matter concentration in the North-Italian region of Piemonte is also presented.

Suggested Citation

  • Ali M. Mosammam & Jorge Mateu, 2018. "A penalized likelihood method for nonseparable space–time generalized additive models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(3), pages 333-357, July.
  • Handle: RePEc:spr:alstar:v:102:y:2018:i:3:d:10.1007_s10182-017-0309-0
    DOI: 10.1007/s10182-017-0309-0
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    References listed on IDEAS

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    1. Helen Parise & M. P. Wand & David Ruppert & Louise Ryan, 2001. "Incorporation of historical controls using semiparametric mixed models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(1), pages 31-42.
    2. Michela Cameletti & Finn Lindgren & Daniel Simpson & Håvard Rue, 2013. "Spatio-temporal modeling of particulate matter concentration through the SPDE approach," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 97(2), pages 109-131, April.
    3. Simon N. Wood & Yannig Goude & Simon Shaw, 2015. "Generalized additive models for large data sets," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 64(1), pages 139-155, January.
    4. Thomas Kneib & Torsten Hothorn & Gerhard Tutz, 2009. "Variable Selection and Model Choice in Geoadditive Regression Models," Biometrics, The International Biometric Society, vol. 65(2), pages 626-634, June.
    5. Augustin, Nicole H. & Musio, Monica & von Wilpert, Klaus & Kublin, Edgar & Wood, Simon N. & Schumacher, Martin, 2009. "Modeling Spatiotemporal Forest Health Monitoring Data," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 899-911.
    6. Huaihou Chen & Yuanjia Wang & Myunghee Cho Paik & H. Alex Choi, 2013. "A Marginal Approach to Reduced-Rank Penalized Spline Smoothing With Application to Multilevel Functional Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(504), pages 1216-1229, December.
    7. Huaihou Chen & Yuanjia Wang, 2011. "A Penalized Spline Approach to Functional Mixed Effects Model Analysis," Biometrics, The International Biometric Society, vol. 67(3), pages 861-870, September.
    8. Ma, Chunsheng, 2003. "Spatio-temporal stationary covariance models," Journal of Multivariate Analysis, Elsevier, vol. 86(1), pages 97-107, July.
    9. Michael L. Stein, 2005. "Statistical methods for regular monitoring data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(5), pages 667-687, November.
    10. Krivobokova, Tatyana & Kauermann, Goran, 2007. "A Note on Penalized Spline Smoothing With Correlated Errors," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1328-1337, December.
    11. X. Lin & D. Zhang, 1999. "Inference in generalized additive mixed modelsby using smoothing splines," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(2), pages 381-400, April.
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