Predictive likelihood: A review

Statistical Science

Volumn 5, Issue 2, 1990, Pages 242-254

  Bjørnstad, Jan F ^a  

^a UNIVERSITY OF TROMSØ   (Norway)

Author keywords

Approximations; Consistency, invariance; Likelihood; Prediction; Predictive intervals

Indexed keywords

EID: 84972535665     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/ss/1177012175     Document Type: Article

References (29)

1. Aitchison, J. and Dunsmore, I. R. (1975). Statistical Prediction Analysis. Cambridge Univ. Press, Cambridge.
2. Aitkin, M. (1986). Comment on "Predictive likelihood inference with applications" by R. W. Butler. J. Roy. Statist. Soc. Ser. B 48 1-38.
3. Barnard, G. A. (1986). Comment on "Predictive likelihood inference with applications" by R. W. Butler. J. Roy. Statist. Soc. Ser. B 48 1-38.
4. Barndorff-Nielsen, O. (1980). Likelihood prediction. Istituto Nazionale di alta Matematica. Symposia Mathematica 25 11-24.
5. Barndorff-Nielsen, O. (1983). On a formula for the distribution of the maximum likelihood estimator. Biometrika 70 343-365.
6. Barndorff-Nielsen, O. and Cox, D. R. (1979). Edgeworth and saddle-point approximations with statistical applications (with discussion). J. Roy. Statist. Soc. Ser. B 41 279-312.
7. Berger, J. O. and Wolpert, R. L. (1984). The Likelihood Principle. IMS, Hayward, Calif.
8. Butler, R. W. (1986). Predictive likelihood inference with applications (with discussion). J. Roy. Statist. Soc. Ser. B 48 1-38.
9. Butler, R. W. (1989). Approximate predictive pivots and densities. Biometrika 76 489-501.
10. Cox, D. R. (1975). Prediction intervals and empirical Bayes confidence intervals. In Perspectives in Probability and Statistics (J. Gani, ed.). 47-55. Academic, London.
11. Daniels, H. E. (1954). Saddlepoint approximations in statistics. Ann. Math. Statist. 25 631-650.
12. Davison, A. C. (1986). Approximate predictive likelihood. Biometrika 73 323-332.
13. Fisher, R. A. (1956). Statistical Methods and Scientific Inference. Oliver and Boyd, London.
14. Harris, I. R. (1989). Predictive fit for natural exponential families. Biometrika 76 675-684.
15. Hinkley, D. V. (1979). Predictive likelihood. Ann. Statist. 7 718-728. Corrigendum 8 694.
16. Howe, W. G. (1969). Two-sided tolerance limits for normal populations: Some improvements. J. Amer. Statist. Assoc. 64 610-620.
17. Johnson, N. I. and Kotz, S. (1970). Continuous Univariate Distributions 2. Houghton Mifflin, Boston.
18. Kalbfleisch, J. D. and Sprott, D. A. (1970). Applications of likelihood methods to models involving large numbers of parameters (with discussion). J. Roy. Statist. Soc. Ser. B 32 175-208.
19. Kalbfleisch, J. D. and Sprott, D. A. (1973). Marginal and conditional likelihoods. Sankhyā Ser. A 35 311-328.
20. Lauritzen, S. L. (1974). Sufficiency/ prediction and extreme models. Scand. J. Statist. 1 128-134.
21. Lauritzen, S. L. (1986). Comment on "Predictive likelihood inference with applications" by R. W. Butler. J. Roy. Statist. Soc. Ser. B 48 1-38.
22. Lejeune, M. and Faulkenberry, G. D. (1982). A simple predictive density function. J. Amer. Statist. Assoc. 77 654-657.
23. Leonard, T. (1982). Comment on "A simple predictive density function" by M. Lejeune and G. D. Faulkenberry. J. Amer. Statist. Assoc. 77 657-658.
24. Levy, M. S. and Perng, S. K. (1984). A maximum likelihood prediction function for the linear model with consistency results. Comm. Statist. A-Theory Methods 13 1257-1273.
25. Levy, M. S. and Perng, S. K. (1986). An optimal prediction function for the normal linear model. J. Amer. Statist. Assoc. 81 196-198.
26. Mathiasen, P. E. (1979). Prediction functions. Scand. J. Statist. 6 1-21.
27. Pearson, K. (1920). The fundamental problem of practical statistics. Biometrika 13 1-16.
28. Rao, C. R. (1977). Prediction of future observations with special reference to linear models. In Multivariate Analysis IV (P. R. Krishnaiah, ed.) 193-208. North-Holland, Amsterdam.
29. Tierney, L. and Kadane, J. B. (1986). Accurate approximations for posterior moments and marginal densities. J. Amer. Statist. Assoc. 81 82-86.