#### DMCA

## © 2007 Royal Statistical Society 0035–9254/07/56029 (2004)

### Citations

600 | Computer Solution of Large Sparse Positive Definite Systems - George, Liu - 1981 |

507 | Semiparametric Regression - Ruppert, Wand, et al. - 2003 |

482 | Core Team. 2004. R: A language and environment for statistical computing. R Foundation for Statistical Computing - Development |

445 | Multivariate Statistical Modelling Based on Generalized Linear Models, Springer Series in Statistics - Fahrmeir, Tutz - 1994 |

293 | Bayesian measures of model complexity and fit (with discussion - Spiegelhalter, Best, et al. - 2002 |

129 | On conditional and intrinsic autoregressions - Besag, Kooperberg - 1995 |

121 | Bayesian P-splines - Lang, Brezger - 2004 |

111 | Bayesian inference for generalized additive mixed models based on Markov random field priors - Fahrmeier, Lang - 2001 |

100 | Stable and efficient multiple smoothing parameter estimation for generalized additive models - Wood - 2004 |

83 | Inference in generalized additive mixed models using smoothing splines
- Lin, Zhang
- 1999
(Show Context)
Citation Context ...rmed either by using Markov chainMonteCarlo (MCMC) techniques (Fahrmeir andLang, 2001a,b; Lang andBrezger, 2004) or by utilizing a mixed model representation of structured additive regression models (=-=Lin and Zhang, 1999-=-; Fahrmeir et al., 2004; Kneib and Fahrmeir, 2006). Our model is novel because it allows for an ordinal response variable in amodelwith non-linear effects of covariates, handles spatial correlation an... |

79 | Geoadditive models
- Kammann, Wand
- 2003
(Show Context)
Citation Context ...odology and software.Weuse aBayesian cumulative thresholdmodelwith non-linear functions of continuous variables and a random effect for spatial heterogeneity. The model is called a geoadditive model (=-=Kammann and Wand, 2003-=-) which in turn is a special case of structured additive models (Fahrmeir et al., 2004; Brezger and Lang, 2006a) or additive plus interactions models that were discussed in Ruppert et al. (2003). Infe... |

74 | Generalized Additive Models: An Introduction with R. Boca - Wood - 2006 |

54 |
Smoothing and mixed models
- Wand
- 2003
(Show Context)
Citation Context ...software.Weuse aBayesian cumulative thresholdmodelwith non-linear functions of continuous variables and a random effect for spatial heterogeneity. The model is called a geoadditive model (Kammann and =-=Wand, 2003-=-) which in turn is a special case of structured additive models (Fahrmeir et al., 2004; Brezger and Lang, 2006a) or additive plus interactions models that were discussed in Ruppert et al. (2003). Infe... |

50 | Flexible Smoothing using B-splines and Penalized Likelihood (with comments and rejoinder - Eilers, Marx - 1996 |

46 | Penalized structured additive regression for space-time data: a Bayesian perspective. Statistica Sinica 14
- Fahrmeier, Kneib, et al.
- 2004
(Show Context)
Citation Context ... of continuous variables and a random effect for spatial heterogeneity. The model is called a geoadditive model (Kammann and Wand, 2003) which in turn is a special case of structured additive models (=-=Fahrmeir et al., 2004-=-; Brezger and Lang, 2006a) or additive plus interactions models that were discussed in Ruppert et al. (2003). Inference can be performed either by using Markov chainMonteCarlo (MCMC) techniques (Fahrm... |

45 | Bayesian semiparametric regression analysis of multicategorical time–space data - Fahrmeir, Lang - 2001 |

37 | Generalized hierarchical multivariate CAR models for areal data - Jin, Carlin, et al. - 2005 |

34 | Smoothing with mixed model software - Ngo, P - 2004 |

27 | Bayesian analysis for correlated ordinal data models. In Generalized linear models: A Bayesian approach - Chen, Dey - 2000 |

15 | 2003: Generalized additive regression based on Bayesian Psplines. SFB 386 Discussion paper 321 - Brezger, Lang |

14 | Multivariate calibration with temperature interaction using two-dimensional penalized signal regression - Eilers, Marx - 2003 |

9 |
Bayesian image-restoration, with two applications in spatial statistics (with discussion). Anna Inst Stat Math
- Besag, York, et al.
- 1991
(Show Context)
Citation Context ... covariate effect fspat several alternative specifications are possible. In principle, any two-dimensional surface estimator might be used. Fahrmeir and Lang (2001b) used a Markov random-field prior (=-=Besag et al., 1991-=-) where two locations are assumed to be neighbours if they are within a certain Euclidean distance. Kammann and Wand (2003) used, in a frequentist setting,Gaussian fields which turn out to be two-dime... |

9 |
Ernährung und Stoffwechsel der pflanze
- Mengel
- 1991
(Show Context)
Citation Context ... a damaging effect of Mn in surplus accompanying soil acidification. This is in line with the conventional threshold of 4 g kg−1 of needles, an Mn concentration above which it is assumed to be toxic (=-=Mengel, 1991-=-). Thus the increasing effect of Mn on the probability of needle loss could be an indirect indicator for increasing effects of soil acidification. N is an essential plant nutrient, but a surplus ofN d... |

8 | Regression methods for spatially correlated data: an example using beetle attacks in a seed orchard. Forest Science 43: 71–77 - Rappaport, Wood - 1997 |

6 | Structured additive regression for multicategorical space-time data: A mixed model approach
- Fahrmeir, Kneib
- 2004
(Show Context)
Citation Context ...(MCMC) techniques (Fahrmeir andLang, 2001a,b; Lang andBrezger, 2004) or by utilizing a mixed model representation of structured additive regression models (Lin and Zhang, 1999; Fahrmeir et al., 2004; =-=Kneib and Fahrmeir, 2006-=-). Our model is novel because it allows for an ordinal response variable in amodelwith non-linear effects of covariates, handles spatial correlation and produces predictions that are useful for monito... |

5 | A model for non-parametric spatially varying regression effects - Congdon - 2006 |

4 | BayesX: Analysing Bayesian Semiparametric Regression Models - Brezger, Kneib, et al. - 2005 |

3 | 2005b) Bayesx manuals - Brezger, Kneib, et al. |

3 |
Der Indizienbeweis: Luftverschmutzung massgebliche Ursache der Walderkrankung
- Schöpfer, Hradetzky
- 1984
(Show Context)
Citation Context ...800m.This agreeswith the assumption that the meteorological inversion layer in mountainous regions with its excessively high acid input from rain and fog precipitation is a main cause of needle loss (=-=Schöpfer and Hradetzky, 1984-=-). Also, western slopes have a significantly increased effect on the probability of needle loss compared with other slope directions. Other stand-specific covariates regarding meteorology were not sel... |

2 | Analysing the spread of beech canker - Augustin, Kublin, et al. - 2005 |

2 | R.(2004).Leastangleregression (with discussion - EFRON, HASTIE, et al. |

1 | 2006b) Simultaneous probability statements forBayesianP-splines. Submitted toStatist. Modlng - Brezger, S |

1 | Air pollution and environment chemistry: what role for tree ring studies - Feretti, Innes, et al. - 2002 |

1 | Waldzustandsbericht 2003. Freiburg: Fortstliche Versuchsund Forschungsanstalt Baden-Württemberg - Meining, Schröter, et al. - 2003 |