Default priors for gaussian processes

Annals of Statistics

Volumn 33, Issue 2, 2005, Pages 556-582

  Paulo, Rui ^a,b,c  

^a National Institute of Statistical Sciences   (United States)

^b Statistical and Applied Mathematical Sciences Institute   (United States)

^c NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES   (United States)

Author keywords

Computer model; Frequentist coverage; Gaussian process; Integrated likelihood; Jeffreys prior; Posterior propriety; Reference prior

Indexed keywords

EID: 22944461402     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000001264     Document Type: Review

References (15)

1. BAYARRI, M. J., BERGER, J. O., HIGDON, D., KENNEDY, M. C., KOTTAS, A., PAULO, R., SACKS, J., CAFEO, J. A., CAVENDISH, J., LIN, C. H. and TU, J. (2002). A framework for validation of computer models. Technical Report 128, National Institute of Statistical Sciences.
2. BERGER, J. O. and BERNARDO, J. M. (1992). On the development of reference priors (with discussion). In Bayesian Statistics 4 (J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds.) 35-60. Oxford Univ. Press.
3. BERGER, J. O., DE OLIVEIRA, V. and SANSÓ, B. (2001). Objective Bayesian analysis of spatially correlated data. J. Amer. Statist. Assoc. 96 1361-1374.
4. BERNARDO, J. M. (1979). Reference posterior distributions for Bayesian inference (with discussion). J. Roy. Statist. Soc. Ser. B 41 113-147.
5. CRESSIE, N. A. C. (1993). Statistics for Spatial Data, revised ed. Wiley, New York.
6. FUENTES, M. (2003). Testing for separability of spatio-temporal covariance functions. Technical Report 2545, Dept. Statistics, North Carolina State Univ.
7. GELMAN, A., CARLIN, J. B., STERN, H. S. and RUBIN, D. B. (1995). Bayesian Data Analysis. Chapman and Hall, London.
8. HARVILLE, D. A. (1974). Bayesian inference for variance components using only error contrasts. Biometrika 61 383-385.
9. HARVILLE, D. A. (1997). Matrix Algebra from a Statistician's Perspective. Springer, Berlin.
10. KASS, R. and WASSERMAN, L. (1996). The selection of prior distributions by formal rules. J. Amer. Statist. Assoc. 91 1343-1370.
11. KENNEDY, M. C. and O'HAGAN, A. (2000). Predicting the output from a complex computer code when fast approximations are available. Biometrika 87 1-13.
12. KENNEDY, M. C. and O'HAGAN, A. (2001). Bayesian calibration of computer models. J. R. Stat. Soc. Ser. B Stat. Methodol 63 425-464.
13. SACKS, J., WELCH, W. J., MITCHELL, T. J. and WYNN, H. P. (1989). Design and analysis of computer experiments (with discussion). Statist. Sci. 4 409-435.
14. SHORT, M. and CARLIN, B. (2003). Multivariate spatiotemporal CDFs with measurement error. Technical Report 2003-015, Division of Biostatistics, Univ. Minnesota.
15. TONG, Y. L. (1990). The Multivariate Normal Distribution. Springer, Berlin.