Residual-based specification of a hidden random field included in a hierarchical spatial model

Computational Statistics and Data Analysis

Volumn 51, Issue 12, 2007, Pages 6404-6422

  Soubeyrand, Samuel ^a   Chadœuf, Joël ^a  

^a INRA   (France)

Author keywords

Distribution specification; Random effects; Residual analysis; Spatial modeling; Spatial statistics

Indexed keywords

DATA STRUCTURES; ENGINEERING GEOLOGY; HIERARCHICAL SYSTEMS; PROBABILITY DISTRIBUTIONS; RADIOISOTOPES;

DISTRIBUTION SPECIFICATION; RANDOM EFFECTS; RESIDUAL ANALYSIS; SPATIAL MODELING; SPATIAL STATISTICS;

RANDOM PROCESSES;

EID: 34547472546     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2007.02.008     Document Type: Article

References (17)

1. Bosq D., and Lecoutre J.-P. Théorie de l'Estimation Fonctionnelle (1987), Economica, Paris
2. Chilès J.-P., and Delfiner P. Geostatistics. Modeling Spatial Uncertainty (1999), Wiley, New York
3. Christensen O.F. Monte Carlo maximum likelihood in model-based geostatistics. J. Comput. Graph. Statist. 13 (2004) 702-718
4. Desassis N., Monestiez P., Bacro J.N., Lagacherie P., and Robbez-Masson J.M. Mapping unobserved factors on vine plant mortality. In: Renard P., Demougeot-Renard H., and Froidevaux R. (Eds). Geostatistics for Environmental Applications (2005), Springer, Berlin 125-136
5. Diggle, P.J., Harper, L., Simon, S., 1997. Geostatistical analysis of residual contamination from nuclear weapons testing. in: Barnett, V., Turkman, K.F. (Eds.), Statistics for Environment, vol. 3, Wiley, Chichester, pp. 89-107.
6. Diggle P.J., Tawn J.A., and Moyeed R.A. Model-based geostatistics. J. Roy. Statist. Soc. C 47 (1998) 299-350
7. Henderson R., Shimakura S., and Gorst D. Modeling spatial variation in leukemia survival data. J. Amer. Statist. Assoc. 97 (2002) 965-972
8. Ledford A.W., and Marriott P.K. Discussion on the paper by Diggle et al. (1998). J. Roy. Statist. Soc. C 47 (1998) 326-350
9. Loader C.R. Bandwidth selection: classical or plug-in?. Ann. Statist. 27 2 (1999) 415-438
10. McLachlan G.J. On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture. J Roy. Statist. Soc. C 36 3 (1987) 318-324
11. Monestiez, P., Dubroca, L., Bonnin, E., Durbec, J.-P., Guinet, C., 2005. Comparison of model based geostatistical methods in ecology: application to fin whale spatial distribution in northwestern mediterranean sea. in: Leuangthong, O., Deutsch, C. V. (Eds.), Geostatistics Banff 2004, vol. 2. Springer, Berlin, pp. 777-786.
12. Pagan A., and Ullah A. Nonparametric Econometrics (1999), Cambridge University Press, Cambridge
13. Rudin, W., 1998. Analyse Réelle et Complexe, Third ed., Dunod, Paris.
14. Senoussi R. Statistique asymptotique presque-sûre de modèles statistiques convexes. Ann. Inst. Henri Poincaré 26 (1990) 19-44
15. Soubeyrand S., Chadœuf J., Sache I., and Lannou C. Residual-based specification of the random-effects distribution for cluster data. Statist. Methodol. 3 (2006) 464-482
16. Stein M.L. Interpolation of Spatial Data: Some Theory for Kriging (1999), Springer, New York
17. Zhang H. On estimation and prediction for spatial generalized linear mixed models. Biometrics 58 (2002) 129-136