References
- Aitchison, J. 1975. Goodness of prediction fit. Biometrika 62 (3):547–54. doi:10.1093/biomet/62.3.547.
- Brown, L. D., E. I. George, and X. Xu. 2008. Admissible predictive density estimation. The Annals of Statistics 36 (3):1156–70. doi:10.1214/07-AOS506.
- Fourdrinier, D., É. Marchand, A. Righi, and W. E. Strawderman. 2011. On improved predictive density estimation with parametric constraints. Electronic Journal of Statistics 5:172–91. doi:10.1214/11-EJS603.
- George, E. I., F. Liang, and X. Xu. 2006. Improved minimax predictive densities under Kullback-Leibler loss. The Annals of Statistics 34 (1):78–91. doi:10.1214/009053606000000155.
- George, E. I., F. Liang, and X. Xu. 2012. From minimax shrinkage estimation to minimax shrinkage prediction. Statistical Science 27 (1):82–94. doi:10.1214/11-STS383.
- Hartigan, J. 2004. Uniform priors on convex sets improve risk. Statistics and Probability Letters 67 (4):285–8. doi:10.1016/j.spl.2004.01.009.
- Hudson, H. M. 1978. A natural identity for exponential families with applications in multiparameter estimation. The Annals of Statistics 6 (3):473–84. doi:10.1214/aos/1176344194.
- Komaki, F. 2001. A shrinkage predictive distribution for multivariate normal observables. Biometrika 88 (3):859–64. doi:10.1093/biomet/88.3.859.
- Komaki, F. 2004. Simultaneous prediction of independent Poisson observables. The Annals of Statistics 32 (4):1744–69. doi:10.1214/009053604000000445.
- Komaki, F. 2006. A class of proper priors for Bayesian simultaneous prediction of independent Poisson observables. Journal of Multivariate Analysis 97 (8):1815–28. doi:10.1016/j.jmva.2005.12.002.
- Komaki, F. 2015. Simultaneous prediction for independent Poisson processes with different durations. Journal of Multivariate Analysis 141:35–48. doi:10.1016/j.jmva.2015.06.008.
- Kubokawa, T. 2012. Minimax estimation of linear combinations of restricted location parameters. Contemporary Developments in Bayesian Analysis and Statistical Decision Theory: A Festschrift for William E. Strawderman, IMS Collections. Vol. 8, 24–41, Institute of Mathematical Statistics.
- Kubokawa, T., É. Marchand, W. E. Strawderman, and J.-P. Turcotte. 2013. Minimaxity in predictive density estimation with parametric constraints. Journal of Multivariate Analysis 116:382–97. doi:10.1016/j.jmva.2013.01.001.
- Marchand, É., F. Perron, and I. Yadegari. 2017. On estimating a bounded normal mean with applications to predictive density estimation. Electronic Journal of Statistics 11 (1):2002–25. doi:10.1214/17-EJS1279.
- Marchand, É., and W. E. Strawderman. 2004. Estimation in restricted parameter spaces: a review. Festschrift for Herman Rubin, IMS Lecture Notes-Monograph Series 45:21–44.
- L’Moudden, A., É. Marchand, O. Kortbi, and W. E. Strawderman. 2017. On predictive density estimation for Gamma models with parametric constraints. Journal of Statistical Planning and Inference 185:56–68. doi:10.1016/j.jspi.2017.01.003.
- van Eeden, C. 2006. Restricted parameter space problems - Admissibility and minimaxity properties. Lecture Notes in Statistics, 188. New York: Springer.