Hierarchical Bayes estimation of hunting success rates with spatial correlations

Biometrics

Volumn 56, Issue 2, 2000, Pages 360-367

  He, Zhuoqiong ^a   Sun, Dongchu ^b  

^a MISSOURI DEPARTMENT OF CONSERVATION   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

Autoregressive models; Bayesian inference; Harvest survey; Hierarchical models; Small area estimation; Spatial correlations

Indexed keywords

HIERARCHICAL SYSTEMS; INFERENCE ENGINES;

AUTOREGRESSIVE MODELLING; BAYES ESTIMATION; BAYESIAN; BAYESIAN INFERENCE; GENERALIZED LINEAR MODEL; HARVEST SURVEY; HIERARCHICAL MODEL; SMALL AREA ESTIMATION; SPATIAL CORRELATIONS; SUBAREA LEVEL;

BAYESIAN NETWORKS;

BAYESIAN ANALYSIS; HARVESTING; HUNTING; WILDLIFE MANAGEMENT;

ARTICLE; BAYES THEOREM; REGRESSION ANALYSIS; SPORT; STATISTICAL MODEL;

EID: 0033918772     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2000.00360.x     Document Type: Article

References (23)

1. Anderson, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd edition. New York: Wiley.
2. Berger, J. O. and Pericchi, L. R. (1996). The intrinsic Bayes factor for model selection and prediction. Journal of the American Statistical Association 91, 109-122.
3. Besag, J. (1974). Spatial interaction and the statistical analysis of lattice systems (with discussion). Journal of the Royal Statistical Society, Series B 36, 192-236.
4. Besag, J., York, J., and Mollié, A. (1991). Bayesian image restoration, with two applications in spatial statistics (with discussion). Annals of the Institute of Statistical Mathematics 43, 1-59.
5. Clayton, D. and Kaldor, J. (1987). Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 43, 671-681.
6. Cliff, A. D. and Ord, J. K. (1973). Spatial Autocorrelation. London: Pion.
7. Cliff, D. and Ord, J. K. (1981). Spatial Processes: Models and Applications. London: Pion.
8. Cressie, N. (1993). Statistics for Spatial Data. New York: Wiley.
9. Gelfand, A. and Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities. Journal of the American Statistical Association 85, 398-409.
10. Gelman, A. and Rubin, D. B. (1992). Inference from iterative simulation using multiple sequences (with discussion). Statistical Science 7, 457-511.
11. Ghosh, M. and Rao, J. N. K. (1994). Small area estimations: An appraisal. Statistical Science 9(1), 55-93.
12. Ghosh, M., Natarajan, K., Stroud, T. W. F., and Carlin, B. P. (1998). Generalized linear models for small area estimation. Journal of the American Statistical Association 93, 273-282.
13. Gilks, W. R. and Wild, P. (1992). Adaptive rejection sampling for Gibbs sampling. Applied Statistics 41(2), 337-348.
14. He, Z. and Sun, D. (1998). Hierarchical Bayes estimation of hunting success rates. Environmental and Ecological Statistics 5, 223-236.
15. Hulting, F. L. and Harville, D. A. (1991). Some Bayesian and non-Bayesian procedures for the analysis of comparative experiments and for small-area estimation: Computational aspects, frequentist properties, and relationships. Journal of the American Statistical Association 86, 557-568.
16. Kass, R. E. and Raftery, A. E. (1995). Bayes factors. Journal of the American Statistical Association 90, 773-795.
17. Meng, X. and Wong, W. H. (1996). Simulating ratios of normalizing constants via a simple identity: A theoretical exploration. Statistica Sinica 6, 831-860.
18. Newton, M. A. and Raftery, A. E. (1994). Approximate Bayesian inference by the weighted likelihood bootstrap (with discussion). Journal of the Royal Statistical Society, Series B 56, 3-48.
19. Stroud, T. W. F. (1994). Bayesian analysis of binary survey data. The Canadian Journal of Statistics 22(1), 33-45.
20. Sun, D., Tsutakawa, R. K., and He, Z. (1997). Propriety of posteriors with improper priors in hierarchical linear mixed models. Statistica Sinica, in press.
21. Sun, D., Tsutakawa, R. K., and Speckman, P. L. (1999). Bayesian inference for CAR (1) models with noninformative priors. Biometrika 86, 341-350.
22. Waller, L. A., Carlin, B. P., Xia, H., Gelfand, A. E. (1997). Hierarchical spatio-temporal mapping of disease rates. Journal of the American Statistical Association 92, 607-617.
23. Whittle, P. (1954). On stationary process in the plane. Biometrika 41, 434-449.