1 |
Arnold, S. F. (1980). The Theory of Linear Models and Multivariate Analysis, John Wiley & Sons, New York.
|
2 |
Busby, D., Farmer, C. L. and Iske, A. (2005). Uncertainty evaluation in reservoir forecasting by Bayes linear methodology, Algorithms for approximation, proceedings of the 5th international conference, Chester, 187-196.
|
3 |
Casella, G. and George, E. I. (1992). An introduction to Gibbs Sampling, The American Statistician, 46, 167-174.
|
4 |
Gelfand, A. E. and Smith, A. F. M. (1990). Sampling-based approaches to calculating marginal densities, Journal of the American Statistical Association, 85, 398-409.
DOI
|
5 |
Gelfand, A. E., Hills, S. E., Racine-Poon, A. and Smith, A. F. M. (1990). Illustration of Bayesian inference in normal data models using Gibbs sampling, Journal of the American Statistical Association, 85, 972-985.
DOI
|
6 |
Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Transactions PAMI, 6, 721-741.
|
7 |
Gilks, W. R., Richardson, S. and Spiegelhalter, D. J. (1996). Markov Chain Monte Carlo in Practice, Chapman and Hall, London.
|
8 |
Goldstein, M. (1983). General variance modifications for linear Bayes estimators, Journal of the American Statistical Association, 78, 616-618.
DOI
|
9 |
Hartigan, J. A. (1969). Linear Bayesian methods, Journal of the Royal Statistical Society, Series B, 31, 440-454.
|
10 |
Heiligers, B. (1993). Linear Bayes and minimax estimation in linear models with partially restricted parameter space, Journal of Statistical Planning and Inference, 36, 175-183.
DOI
|
11 |
Hoffmann, K. (1996). A subclass of Bayes linear estimators that are minimax, Acta Applicandue Mathematicae, 43, 87-95.
DOI
|
12 |
Lamotte, L. R. (1978). Bayes linear estimators, Technometrics, 3, 281-290.
|
13 |
Lindley, D. V. (1980). Approximate Bayesian methods, Trabajos de Estadistica, 21, 223-237.
|
14 |
Mao, S. S. and Tang, Y. C. (2012). Bayesian Statistics, Second Edition, China Statistics Press, Beijing.
|
15 |
Martinez, W. L. and Martinez, A. R. (2007). Computational Statistics Handbook with MATLAB, Second Edition, Chapman & Hall/CRC, New York.
|
16 |
Pensky, M. and Ni, P. (2000). Extended linear empirical Bayes estimation, Communications in Statistics - Theory and Methods, 29, 579-592.
DOI
|
17 |
Rao, C. R. (1973). Linear Statistical Inference and Its Applications, Second Edition, John Wiley & Sons, New York.
|
18 |
Schwarz, C. J. and Samanta, M. (1991). An inductive proof of the sampling distributions for the MLEs of the parameters in an inverse Gaussian distributions, The American Statistician, 45, 223-235.
|
19 |
Robert, C. P. and Casella, G.(1999). Monte Carlo Statistical Methods, Springer-Verlag, New York.
|
20 |
Samaniego, F. J. and Vestrup, E. (1999). On improving standard estimators via linear empirical Bayes methods, Statistics & Probability Letters, 44, 309-318.
DOI
|
21 |
Tierney, L. and Kadane, J. B. (1986). Accurate approximations for posterior moments and marginal densities, Journal of the American Statistical Association, 81, 82-86.
DOI
|
22 |
Tweedie, M. C. K. (1957). Statistical properties of inverse Gaussian distributions, The Annals of Mathematical Statistics, 28, 362-377.
DOI
|
23 |
Wang, L. C. and Singh, R. S. (2014). Linear Bayes estimator for the two-parameter exponential family under type II censoring, Computational Statistics and Data Analysis, 71, 633-642.
DOI
|
24 |
Wei, L. S. and Zhang, W. P. (2007). The superiorities of Bayes linear minimum risk estimation in linear model, Communications in Statistics-Theory and Methods, 36, 917-926.
DOI
|
25 |
Zhang, W. P. and Wei, L. S. (2005). On Bayes linear unbiased estimation of estimable functions for the singular linear model, Science in China Series A Mathematics, 7, 898-903.
|
26 |
Zhang, W. P., Wei, L. S. and Chen, Y. (2011). The superiorities of Bayes linear unbiased estimation in partitioned linear model, Journal of System Science and Complexity, 5, 945-954.
|
27 |
Zhang, W. P., Wei, L. S. and Chen, Y. (2012). The superiorities of Bayes linear unbiased estimation in multivariate linear models, Acta Mathematicae Applicatae Sinica, English Series 2, 383-394.
|