A multivariate CAR model for mismatched lattices

Spatial and Spatio-temporal Epidemiology

Volumn 11, Issue , 2014, Pages 79-88

  Porter, Aaron T ^a   Oleson, Jacob J ^b  

^a Department of Geology and Geological Engineering   (United States)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

American community survey; Conditional autoregressive; Infectious disease; Mismatched lattices

Indexed keywords

ARTICLE; BAYESIAN LEARNING; EPIDEMIC; MISMATCHED CONDITIONAL AUTOREGRESSIVE MODEL; MULTIVARIATE ANALYSIS; MUMPS; NEIGHBORHOOD; BAYES THEOREM; COMPUTER SIMULATION; HUMAN; NORMAL DISTRIBUTION; POVERTY; PROBABILITY; STATISTICAL MODEL; STATISTICS AND NUMERICAL DATA; UNITED STATES;

BAYES THEOREM; COMPUTER SIMULATION; EPIDEMICS; HUMANS; IOWA; MARKOV CHAINS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; MUMPS; NORMAL DISTRIBUTION; POVERTY; UNITED STATES;

EID: 84907480780     PISSN: 18775845     EISSN: 18775853     Source Type: Journal    
DOI: 10.1016/j.sste.2014.08.001     Document Type: Article

References (26)

1. Banerjee S., Carlin B.P., Gelfand A.E. Hierarchical modeling and analysis for spatial data 2004, Chapman & Hall.
2. Besag J. Spatial interaction and the statistical analysis of lattice systems. J R Stat Soc Ser B 1974, 36(2):192-236.
3. Besag J., York J., Mollie A. Bayesian image restoration with two applications in spatial statistics (with discussion). Ann Inst Stat Math 1991, 43:1-59.
4. Best N., Richardson S., Thomson A. A comparison of Bayesian spatial models for disease mapping. Stat Methods Med Res 2005, 14:35-59.
5. Binder D.A. Bayesian cluster analysis. Biometrika 1978, 65:31-38.
6. Carlin B.P., Banerjee S. Hierarchical multivariate CAR models for spatio-temporally correlated survival data. Bayesian Stat 2003, 7:45-64.
7. Chellappa R., Chatterjee S. Classification of textures using Gaussian markov random fields. IEEE Trans Acoust Speech Signal Process 1985, 33(4):959-963.
8. Clayton D., Kaldor J. Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 1987, 43(3):671-681.
9. Cressie N.A.C. Statistics for spatial data 1993, Wiley, [Revised Edition].
10. Fay R., Herriot R. Estimates of income for small places: an application of James-Stein procedures to census data. J Am Stat Assoc 1979, 74:269-277.
11. Gelfand A.E., Vounatsou P. Proper multivariate conditional autoregressive models for spatial data analysis. Biostatistics 2003, 4(1):11-25.
12. Geweke J. Evaluating the accuracy of sampling-based approaches to calculating posterior moments. Bayesian Statistics 4 1992, Clarendon Press, Oxford, UK.
13. Hossain M.M., Lawson A.B., Cai B., Choi J., Liu J., Kirby R.S. Space-time areal mixture model: relabeling algorithm and model selection issues. Environmetrics 2014, 10.1002/env.2265.
14. Hufnagel L., Brockmann D., Geisel T., May R. Forecast and control of epidemics in a globalized world. PNAS 2004, 101(42):15124-15129.
15. Jin X., Carlin B., Banerjee S. Generalized hierarchical multivariate car models for areal data. Biometrics 2005, 61:950-961.
16. Kim H., Oleson J.J. A bayesian dynamic spatio-temporal interaction model: an application to prostate cancer incidence. Geogr Anal 2008, 40:77-96.
17. Kim H., Sun D., Tsutakawa R.K. A bivariate Bayes method for improving the estimates of mortality rates with a twofold conditional autoregressive model. J Am Stat Assoc 2001, 96(456):1506-1522.
18. Lichstein J.W., Simons T.R., Shriner S.A., Franzreb K.E. Spatial autocorrelation and autoregressive models in ecology. Ecol Monogr 2002, 72(3):445-463.
19. Mardia K. Multi-dimensional multivariate gaussian markov random fields with application to image processing. J Multivar Anal 1988, 24:29-56.
20. Polgreen P., Bohnett L., Yang M., Pentella M., Cavanaugh J. A spatial analysis of the spread of mumps: the importance of college students and their spring break associated travel. Epidemiol Infect 2010, 138:434-441.
21. Rue H., Held L. Gaussian Markov random fields: theory and applications 2005, CRC Press.
22. Sain S.R., Cressie N. Multivariate lattice models for spatial environmental data. Proc. Statist. Environ. Sect. Am. Statist. Ass 2002, 2820-2825.
23. Sain S.R., Furrer R., Cressie N. A spatial analysis of multivariate output from regional climate models. Ann Appl Stat 2011, 5(1):150-175.
24. Spiegelhalter D., Best N.G., Carlin B., Van der Linde A. Bayesian measures of model complexity and fit (with discussion). J R Stat Soc Ser B 2002, 64:583-616.
25. Sun D., Tsutakawa R., Kim H., He Z. Spatio-temporal interaction with disease mapping. Stat Med 2000, 19:2015-2035.
26. Wall M.M. A close look at the spatial structure implied by the CAR and SAR models. J Stat Plan Infer 2004, 121(2):311-324.