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Bayesian inference for generalized additive mixed models based on Markov random field priors


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  • Ludwig Fahrmeir
  • Stefan Lang
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    Bibliographic Info

    Article provided by Royal Statistical Society in its journal Journal of the Royal Statistical Society: Series C (Applied Statistics).

    Volume (Year): 50 (2001)
    Issue (Month): 2 ()
    Pages: 201-220

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    Handle: RePEc:bla:jorssc:v:50:y:2001:i:2:p:201-220

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    Cited by:
    1. Chiara Bocci & Emilia Rocco, 2014. "Estimates for geographical domains through geoadditive models in presence of incomplete geographical information," Statistical Methods and Applications, Springer, Springer, vol. 23(2), pages 283-305, June.
    2. Dongchu Sun & Paul Speckman, 2008. "Bayesian hierarchical linear mixed models for additive smoothing splines," Annals of the Institute of Statistical Mathematics, Springer, Springer, vol. 60(3), pages 499-517, September.
    3. Jörg-Peter Schräpler & Jürgen Schupp & Gert G. Wagner, 2013. "Conversion of Non-Respondents in an Ongoing Panel Survey: The Case of the German Socio-Economic Panel (SOEP)," SOEPpapers on Multidisciplinary Panel Data Research 626, DIW Berlin, The German Socio-Economic Panel (SOEP).
    4. Belitz, Christiane & Lang, Stefan, 2008. "Simultaneous selection of variables and smoothing parameters in structured additive regression models," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 53(1), pages 61-81, September.
    5. Nadja Klein & Michel Denuit & Stefan Lang & Thomas Kneib, 2013. "Nonlife Ratemaking and Risk Management with Bayesian Additive Models for Location, Scale and Shape," Working Papers, Faculty of Economics and Statistics, University of Innsbruck 2013-24, Faculty of Economics and Statistics, University of Innsbruck.
    6. Riccardo Borgoni & Ulf-Christian Ewert & Alexia Fürnkranz-Prskawetz, 2002. "How important are household demographic characteristics to explain private car use patterns? A multilevel approach to Austrian data," MPIDR Working Papers WP-2002-006, Max Planck Institute for Demographic Research, Rostock, Germany.
    7. Congdon, Peter, 2006. "A model for non-parametric spatially varying regression effects," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 50(2), pages 422-445, January.
    8. Paciorek, Christopher J., 2007. "Computational techniques for spatial logistic regression with large data sets," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 51(8), pages 3631-3653, May.
    9. Sutradhar, Brajendra C. & Jowaheer, Vandna, 2003. "On familial longitudinal Poisson mixed models with gamma random effects," Journal of Multivariate Analysis, Elsevier, Elsevier, vol. 87(2), pages 398-412, November.
    10. Yue, Yu Ryan & Rue, Håvard, 2011. "Bayesian inference for additive mixed quantile regression models," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 55(1), pages 84-96, January.
    11. Lang, Stefan & Sunder, Marco, 2003. "Non-parametric regression with BayesX: a flexible estimation of trends in human physical stature in 19th century America," Economics & Human Biology, Elsevier, Elsevier, vol. 1(1), pages 77-89, January.
    12. Riccardo Borgoni & Francesco C. Billari, 2002. "Bayesian spatial analysis of demographic survey data: an application to contraceptive use at first sexual intercourse," MPIDR Working Papers WP-2002-048, Max Planck Institute for Demographic Research, Rostock, Germany.
    13. Brezger, Andreas & Lang, Stefan, 2006. "Generalized structured additive regression based on Bayesian P-splines," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 50(4), pages 967-991, February.
    14. Costa, M.J. & Shaw, J.E.H., 2009. "Parametrization and penalties in spline models with an application to survival analysis," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 53(3), pages 657-670, January.
    15. Birgit Schrödle & Leonhard Held, 2011. "A primer on disease mapping and ecological regression using $${\texttt{INLA}}$$ ," Computational Statistics, Springer, Springer, vol. 26(2), pages 241-258, June.
    16. Claudia Czado & Peter Song, 2008. "State space mixed models for longitudinal observations with binary and binomial responses," Statistical Papers, Springer, Springer, vol. 49(4), pages 691-714, October.
    17. Axel Schaffer & Jan Rauland, 2011. "Regional efficiency in generating technological knowledge," ERSA conference papers ersa10p1108, European Regional Science Association.
    18. Denuit, Michel & Lang, Stefan, 2004. "Non-life rate-making with Bayesian GAMs," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 627-647, December.
    19. Ozer Ozdemir & Memmedaga Memmedli & Akhlitdin Nizamitdinov, 2013. "ANN Models and Bayesian Spline Models for Analysis of Exchange Rates and Gold Price," International Econometric Review (IER), Econometric Research Association, Econometric Research Association, vol. 5(2), pages 53-69, September.
    20. Tutz, Gerhard, 2004. "Generalized semiparametrically structured mixed models," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 46(4), pages 777-800, July.


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