Mapping rates associated with polygons

Journal of Geographical Systems

Volumn 2, Issue 1, 2000, Pages 61-69

  Cressie, Noel ^a   Stern, Hal S ^b   Wright, Deanne Reber ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b Iowa State University   (United States)

^c PIONEER HI BRED INTERNATIONAL INC   (United States)

Author keywords

Bayesian inference; Disease mapping; Hierarchical models; Loss functions; Spatio temporal models

Indexed keywords

GIS; MAPPING; POLYGON; SPATIAL ANALYSIS;

EID: 0034052664     PISSN: 14355930     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101090050031     Document Type: Conference Paper

References (18)

1. Bernardinelli L, Clayton D, Paseutto C, Montomoli C, Ghislandi M, Songini, M (1995) Bayesian analysis of space-time variation in disease risk. Statistics in Medicine 14:2433-2443
2. Besag J (1974) Spatial interaction and the statistical analysis of lattice systems (with discussion). Journal of the Royal Statistical Society B 36:192-236
3. Besag J, York JC, Mollie A (1991) Bayesian image restoration, with two applications in spatial statistics (with discussion). Annals of the Intitute of Statistical Mathematics 43:1-59
4. Breslou NE, Clayton DG (1993) Approximate inference in generalized linear mixed models. Journal of the American Statistical Association 88:9-25
5. Clayton D, Kaldor J (1987) Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 43:671-681
6. Cressie N (1992) Smoothing regional maps using empirical Bayes predictors. Geographical Analysis 24:75-95
7. Cressie NAC (1993) Statistics for Spatial Data, revised edition. Wiley: New York
8. Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequences. Statistical Science 7:457-511
9. Ghosh M (1992) Constrained Bayes estimation with applications. Journal of the American Statistical Association 87:533-540
10. Knorr-Held L, Besag JE (1998) Modelling risk from a disease in time and space. Statistics in Medicine 17:2045-2060
11. Louis T (1984) Estimating a population of parameter values using Bayes and empirical Bayes methods. Journal of the American Statistical Association 79:393-398
12. Manton KG, Woodbury MA, Stallard E, Riggan WB, Creason JP, Pellom AC (1989) Empirical Bayes procedures for stabilizing maps of U.S. cancer mortality rates. Journal of the American Statistical Association 84:637-650
13. Mollie A, Richardson S (1991) Empirical Bayes estimates of cancer mortality rates using spatial models. Statistics in Medicine 10:95-112
14. Reber DL (1999) A Bayesian approach to inference for extremes with applications to animal breeding and disease mapping. Unpubli. dissertation, Iowa State University, Ames, IA
15. Stern HS, Cressie N (1995) Bayesian and constrained Bayesian inference for extremes in epidemiology. In: 1995 Proceedings of the Epidemiology Section. American Statistical Association: Alexandria, VA, pp. 11-20
16. Stern HS, Cressie N (1999) Inference for extremes in disease mapping. In: Lawson A, Biggeri A, Böhning D, Lesaffre E, Viel J-F, Bertollini R (eds) Disease Mapping and Risk Assessment for Public Health. Wiley: Chichester, pp. 63-84
17. Tsutakawa RK, Shoop GL, Marienfeld CJ (1985) Empirical Bayes estimation of cancer mortality rates. Statistics in Medicine 4:201-212
18. Waller LA, Carlin BP, Xia H, Gelfand AE (1997) Hierarchical spatio-temporal mapping of disease rates. Journal of the American Statistical Association 92:607-617