Bayesian areal wombling via adjacency modeling

Environmental and Ecological Statistics

Volumn 14, Issue 4, 2007, Pages 433-452

  Lu, Haolan ^a   Reilly, Cavan S ^b   Banerjee, Sudipto ^b   Carlin, Bradley P ^b  

^a BRISTOL MYERS SQUIBB   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Adjacency modeling; Areal data; Conditionally autoregressive (CAR) model; Hierarchical Bayesian model; Markov chain Monte Carlo (MCMC) simulation; Spatial statistics

Indexed keywords

ALGORITHM; BAYESIAN ANALYSIS; GEOSTATISTICS; HIERARCHICAL SYSTEM; MARKOV CHAIN; MODELING; MONTE CARLO ANALYSIS; PRINCIPAL COMPONENT ANALYSIS; PRIORITIZATION; PUBLIC HEALTH; SIMULATION;

EURASIA; EUROPE;

EID: 36248950723     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10651-007-0029-9     Document Type: Article

References (21)

1. Banerjee S, Gelfand AE and Sirmans CF (2003). Directional rates of change under spatial process models. J Am Stat Assoc 98: 946-954
2. Banerjee S, Carlin BP and Gelfand AE (2004). Hierarchical modeling and analysis for spatial data. Chapman & Hall, Boca Raton, FL
3. Besag J (1974). Spatial interaction and the statistical analysis of lattice systems (with discussion). J R Stat Soc Ser B 36: 192-236
4. Besag J (1986). On the statistical analysis of dirty pictures. J R Stat Soc Ser B 48: 259-302
5. Best NG, Waller LA, Thomas A, Conlon EM and Arnold RA (1999). Bayesian models for spatially correlated diseases and exposure data (with discussion). In: Bernardo, JM (eds) Bayesian statistics, Vol 6, pp 131-156. Oxford University Press, Oxford
6. Carlin BP and Banerjee S (2003). Hierarchical multivariate CAR models for spatio-temporally correlated survival data (with discussion). In: Bernardo, JM (eds) Bayesian statistics, Vol 7, pp 45-63. Oxford University Press, Oxford
7. Carlin BP and Louis TA (2000). Bayes and empirical Bayes methods for data analysis. Chapman and Hall/CRC Press, Boca Ration, FL
8. Clayton DG and Kaldor JM (1987). Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 43: 671-681
9. Geman S and Geman D (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans Pattern Anal Mach Intell 6:721-742
10. Harville DD (1997). Matrix algebra from a statistician's perspective. Springer-Verlag, New York
11. Helterbrand JD (1996). One-pixel-wide closed boundary identifications. IEEE Trans Image Process 5: 780-783
12. Helterbrand JD, Cressie N and Davidson JL (1994). A statistical approach to identifying closed object boundaries in images. Adv Appl Probab 26: 831-854
13. Hodges JS, Carlin BP and Fan Q (2003). On the precision of the conditionally autoregressive prior in spatial models. Biometrics 59: 316-322
14. Hoff PD, Raftery AE and Handcock MS (2002). Latent space approaches to social network analysis. J Am Stat Assoc 97: 1090-1098
15. Lu H and Carlin BP (2005). Bayesian areal wombling for geographical boundary analysis. Geogr Anal 37: 265-285
16. Oden NL, Sokal RR, Fortin M-J and Goebl H (1993). Categorical wombling: detecting regions of significant change in spatially located categorical variables. Geogr Anal 25: 315-336
17. Short M, Carlin BP and Bushhouse S (2002). Using hierarchical spatial models for cancer control planning in Minnesota (United States). Cancer Causes Control 13: 903-916
18. Spiegelhalter DJ, Best DG, Carlin BP and van der Linde A (2002). Bayesian measures of model complexity and fit (with discussion). J R Stat Soc Ser B 64: 583-639
19. Thomas AJ and Carlin BP (2003). Late detection of breast and colorectal cancer in Minnesota counties: An application of spatial smoothing and clustering. Stat Med 22: 113-127
20. Wang YJ and Wong GY (1987). Stochastic blockmodels for directed graphs. J Am Stat Assoc 82: 8-19
21. Womble W (1951). Differential systematics. Science 114: 315-322