Modelling correlated count data with covariates

Journal of Statistical Computation and Simulation

Volumn 77, Issue 11, 2007, Pages 945-954

  Shaddick, G ^a   Choo, L L ^a   Walker, S G ^b  

^a University of Bath   (United Kingdom)

^b UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Auto correlation; Count data; Latent process

Indexed keywords

EID: 35648966596     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/10629360600851974     Document Type: Article

References (13)

1. Davis, R.A., Dunsmuir, W.T.M. and Wang, Y., 2000, On autocorrelation in a Poisson model. Biometrika, 87, 491-505.
2. Wang, P. and Puterman, M.L., 1999, Markov Poisson regression models for discrete time series, part 1: methodology. Journal of Applied Statistics, 26, 855-869.
3. Chiogna, M. and Gaetan, C., 2002, Dynamic generalized linear models with application to environmental epidemiology. Applied Statistics, 51, 453-468.
4. Pole, A., West, M. and Harrison, J., 1994, Bayesian Forecasting and Time Series Analysis (London: Chapman and Hall).
5. Johnson, N.L. and Kotz, S., 1972, Distributions in Statistics: Continuous Multivariate Distributions (New York: Wiley).
6. Smith, A.F.M. and Roberts, G.O., 1993, Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. Journal of the Royal Statistical Society Series B, 55, 3-23.
7. Damien, P., Wakefield, J.C. and Walker, S.G., 1999, Gibbs sampling for Bayesian non-conjugate and hierarchical models by using auxiliary variables. Journal of the Royal Statistical Society, Series B, 61, 331-344.
8. Tierney, L., 1994, Markov chains for exploring posterior distributions. Annals of Statistics, 22, 1701-1762.
9. Gilks, W.R. and Wild, P., 1992, Adaptive rejection, sampling for Gibbs sampling. Applied Statistics, 41, 337-348.
10. Dolk, H., Mertens, B., Kleinschmidt, I., Walls, P., Shaddick, G. and Elliott, P., 1997, A standardisation approach to the control of socio-economic confounding in small areas studies of environment and health. Journal of Epidemiology and Community Health, 24(Suppl. 2), S9-S14.
11. Wakefield, J.C. and Morris, S.E., 2001, The Bayesian modeling of disease risk in relation to a point source. Journal of the American Statistical Association, 96, 77-91.
12. Elliott, P., Shaddick, G., Kleinschmidt, I., Jolley, D., Walls, P. and Beresford, J., 1996, Cancer incidence near municipal solid waste incinerators in Great Britain. British Journal of Cancer, 73, 702-710.
13. Hills, M., 1992, Some comments on methods for investigating disease risk around a point source. In: P. Elliott, J. Cuzick, D. English and R. Stern (Eds) Geographical and Environmental Epidemiology Methods for Small Area Studies (Oxford: Oxford University Press).