Estimating functions evaluated by simulation: A Bayesian/analytic approach

Annals of Applied Probability

Volumn 8, Issue 4, 1998, Pages 1184-1215

  Koehler, J R ^a   Puhalskii, A A ^a   Simon, B ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

Experimental designs; Kriging

Indexed keywords

EID: 0032260359     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1028903377     Document Type: Article

References (19)

1. BILLINGSLEY, P. (1968). Convergence of Probability Measures. Wiley, New York.
2. CURRIN, C., MITCHELL, T., MORRIS, M. and YLVISAKER, D. (1991). Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments J. Amer. Statist. Assoc. 86 953-963.
3. DUDLEY, R. M. (1989). Real Analysis and Probability. Wadsworth & Brooks/Cole, Pacific Grove, CA.
4. HAMMERSLEY, J. M. and HANDSCOMB, D. C. (1964). Monte Carlo Methods. Methuen, London.
5. HUTSON, V. and PYM, J. S. (1980). Applications of Functional Analysis and Operator Theory. Academic Press, London.
6. IGLEHART, D. L. (1978). The regenerative method for simulation analysis. In Current Trends in Programming Methodology - Software Modeling (K. M. Chandy and R. T. Yeh, eds.). Prentice-Hall, Englewood Cliffs, NJ.
7. KIEFER, J. and WOLFOWITZ, J. (1959). "Optimum designs in regression problems. Ann. Math. Statist. 30 289-312.
8. KOEHLER, J. R. and OWEN, A. B. (1996). Computer experiments. In Handbook of Statistics (S. Ghosh and C. R. Rao, eds.) 13 261-308. North-Holland, Amsterdam.
9. PLASKOTA, L. (1992). Function approximation and integration on the Wiener space with noisy data. J. Complexity 8 301-323.
10. PUKELSHEIM, F. (1993). Optimal Design of Experiments. Wiley, New York.
11. RlPLEY, B. D. (1981). Spatial Statistics. Wiley, New York.
12. RITTER, K., WASILKOWSKI, G. W. and WOZNIAKOWSKI, H. (1995). Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions. Ann. Appl. Probab. 5 518-540.
13. SACKS, J., SCHILLER, S. B. and WELCH, W. J. (1989). Designs for computer experiments. Technometrics 1 41-47.
14. SACKS, J., WELCH, W. J., MITCHELL, T. J. and WYNN, H. P. (1989). Design and analysis of computer experiments. Statist. Sci. 4 409-423.
15. SEARLE, S. R. (1982). Matrix Algebra Useful for Statistics. Wiley, New York.
16. SHIRYAYEV, A. N. (1984). Probability. Springer, New York.
17. SIMON, B. (1997). Convergence of 'natural' rootfinding procedures. Unpublished manuscript.
18. STEIN, M. L. (1988). Asymptotically efficient prediction of a random field with a misspecified covariance function. Ann. Statist. 16 55-63.
19. TRICOMI, F. G. (1985). Integral Equations. Dover, New York.