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This is page 1 Printer Opaque this Empirical Bayesian Spatial Prediction Using Wavelets(24)

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ABSTRACT Wavelet shrinkage methods, introduced by Donoho and Johnstone

1. Empirical Bayesian Spatial Prediction Using Wavel

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Chipman, H. A., Kolaczyk, E. D., and McCulloch, R. E. (1997). Adaptive Bayesian wavelet shrinkage. Journal of the American Statistical Association, 92:1413{1421. Clyde, M., Parmigiani, G., and Vidakovic, B. (1996). Bayesian strategies for wavelet analysis. Statistical Computing and Statistical Graphics Newsletter, 7:3{9. Clyde, M., Parmigiani, G., and Vidakovic, B. (1998). Multiple shrinkage and subset selection in wavelets. Biometrika, 85:391{401. Crouse, M., Nowak, R., and Baraniuk, R. (1998). Wavelet-based statistical signal processing using hidden Markov models. IEEE Transactions on Signal Processing, 46:886{902. Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM, Philadelphia. Donoho, D. L. and Johnstone, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81:425{455. Donoho, D. L. and Johnstone, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association, 90:1200{1224. Donoho, D. L. and Johnstone, I. M. (1998). Minimax estimation via wavelet shrinkage. Annals of Statistics, 26. Forthcoming. Donoho, D. L., Johnstone, I. M., Kerkyacharian, G., and Picard, D. (1995). Wavelet shrinkage: asymptopia? (with discussion). Journal of the Royal Statistical Society B, 57:301{369. George, E. I. and McCulloch, R. (1993). Variable selection via Gibbs sampling. Journal of the American Statistical Association, 88:881{889. George, E. I. and McCulloch, R. (1997). Approaches to Bayesian variable selection. Statistica Sinica, 7:339{373. Gong, G. and Samaniego, F. J. (1981). Pseudo maximum likelihood estimation: theory and applications. Annals of Statistics, 9:861{869. Huang, H.-C. and Cressie, N. (1997a). Deterministic/stochastic wavelet decomposition for recovery of signal from noisy data. Technical Report 97-23, Department of Statistics, Iowa State University, Ames, IA. Huang, H.-C. and Cressie, N. (1997b). Multiscale spatial modeling. In ASA 1997 Proceedings of the Section on Statistics and the Environment, pages 49{54, Alexandria, VA.

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