Frequentist prediction intervals and predictive distributions

Biometrika

Volumn 92, Issue 3, 2005, Pages 529-542

  Lawless, J F ^a   Fredette, Marc ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b HEC MONTRÉAL   (Canada)

Author keywords

Calibration; Confidence distribution; Coverage probability; Kullback Leibler distance; Pivotal

Indexed keywords

EID: 24144444084     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/92.3.529     Document Type: Article

References (24)

1. AITCHISON, J. (1975). Goodness of prediction fit. Biometrika 62, 547-54.
2. AITCHISON, J. & DUNSMORE, T. R. (1975). Statistical Prediction Analysis, Cambridge University Press.
3. BARNDORFF-NIELSEN, O. E. & COX, D. R. (1994). Inference and Asymptotics. London: Chapman and Hall.
4. BARNDORFF-NIELSEN, O. E. & COX, D. R. (1996). Prediction and asymptotics. Bernoulli 2, 319-40.
5. BERAN, R. (1990). Calibrating prediction regions. J. Am. Statist. Assoc. 85, 715-23.
6. BJORNSTAD, J. F. (1990). Predictive likelihood: a review (with Discussion). Statist. Sci. 5, 242-65.
7. COX, D. R. (1975). Prediction intervals and empirical Bayes confidence intervals. In Perspectives in Probability and Statistics, Ed. J. Gani, pp. 47-56. Sheffield: Applied Probability Trust.
8. DAVISON, A. C. & HINKLEY, D. V. (1997). Bootstrap Methods and their Application. Cambridge University Press.
9. EFRON, B. (1998). R. A. Fisher in the 21st century (with Discussion). Statist. Sci. 13, 95-122.
10. ESCOBAR, L. A. & MEEKER, W. Q. (1999). Statistical prediction based on censored life data. Technometrics 41, 113-24.
11. FRASER, D. A. S. (1968). The Structure of Inference. New York: John Wiley and Sons.
12. GEISSER, S. (1993). Predictive Inference: An Introduction. New York: Chapman and Hall.
13. HARRIS, I. R. (1989). Predictive fit for natural exponential families. Biometrika 76, 675-84.
14. HORA, R. B. & BUEHLER, R. J. (1966). Fiducial theory and invariant estimation. Ann. Math. Statist. 37, 643-56.
15. HORA, R. B. & BUEHLER, R. J. (1967). Fiducial theory and invariant prediction. Ann. Math. Statist. 38, 795-801.
16. LAWLESS, J. F. (1973). On the estimation of safe life when the underlying life distribution is Weibull. Technometrics 15, 857-65.
17. LAWLESS, J. F. (2003). Statistical Models and Methods for Lifetime Data, 2nd ed. Hoboken, NJ: John Wiley and Sons.
18. LEJEUNE, M. & FAULKENBERRY, D. G. (1982). A simple predictive density function. J. Am. Statist. Assoc. 77, 654-7.
19. MEEKER, W. Q. & ESCOBAR, L. A. (1998). Statistical Methods for Reliability Data. New York: John Wiley and Sons.
20. MURRAY, G. D. (1977). A note on the estimation of probability density functions. Biometrika 64, 150-2.
21. NG, V. M. (1980). On the estimation of parametric density functions. Biometrika 67, 505-6.
22. SCHWEDER, T. & HJORT, N. L. (2002). Confidence and likelihood. Scand. J. Statist. 29, 309-32.
23. SMITH, R. L. (1999). Bayesian and frequentist approaches to parametric predictive inference. In Bayesian Statistics 6, Ed. J. M. Bernando, J. O. Berger, A. P. Dawid and A. F. M. Smith, pp. 589-612. Oxford University Press.
24. VIDONI, P. (1998). A note on modified estimative prediction limits and distributions. Biometrika 85, 949-53.