Likelihood-based discrimination between separate scale and regression models

Journal of Statistical Planning and Inference

Volumn 136, Issue 10, 2006, Pages 3539-3553

  Pace, L ^a   Salvan, A ^b   Ventura, L ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Laplace expansion; Likelihood ratio test; Marginal likelihood; Model selection; Modified profile likelihood; Most powerful invariant test; Profile likelihood; Scale and regression model

Indexed keywords

EID: 33744968453     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2005.01.014     Document Type: Article

References (30)

1. Atkinson A.C. A method of discriminating between models (with discussion). J. R. Statist. Soc. B 32 (1970) 323-353
2. Azzalini A. A class of distributions which includes the normal ones. Scand. J. Statist. 12 (1985) 171-178
3. Barndorff-Nielsen O.E., and Cox D.R. Asymptotic Techniques for Use in Statistics (1989), Chapman & Hall, London
4. Barndorff-Nielsen O.E., and Cox D.R. Inference and Asymptotics (1994), Chapman & Hall, London
5. Berger J., Pericchi L., and Varshavsky J. Bayes factors and marginal distributions in invariant situations. Sankhya A 60 (1998) 307-321
6. Berkson J. Smoking and lung cancer: some observations on two recent reports. J. Amer. Statist. Assoc. 53 (1957) 28-38
7. Burridge J. A note on maximum likelihood estimation for regression models using grouped data. J. Roy. Statist. Soc. B 43 (1981) 41-45
8. Cox, D.R. 1961. Tests of separate families of hypotheses, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistical Problems, vol. 1, pp. 105-123.
9. Cubedo M., and Oller J.M. Hypothesis testing: a model selection approach. J. Statist. Plan. Inference 108 (2002) 3-21
10. Dass S.C., and Berger J.O. Unified conditional frequentist and Bayesian testing of composite hypotheses. Scand. J. Statist. 30 (2003) 193-210
11. Davison A.C. Approximate predictive likelihood. Biometrika 732 (1986) 323-332
12. Dumonceaux R., Antle C.E., and Haas G. Likelihood ratio test for discrimination between two models with unknown location and scale parameters. Technometrics 15 (1973) 19-27
13. Franck W.E. The most powerful invariant test of normal versus Cauchy with applications to stable alternatives. J. Amer. Statist. Assoc. 76 (1981) 1002-1005
14. Fraser D.A.S. Necessary analysis and adaptive inference. J. Amer. Statist. Assoc. 71 (1976) 99-110
15. Fraser D.A.S. Inference and Linear Models (1979), McGraw Hill, New York
16. Jeffreys H. Theory of Probability. third ed. (1961), Clarendon Press, Oxford
17. Kappenman R.F. Conditional confidence intervals for double exponential distribution parameters. Technometrics 17 (1975) 233-235
18. Lawless J.F. Conditional confidence interval procedures for the location and scale parameters of the Cauchy and logistic distributions. Biometrika 59 (1972) 377-386
19. Lawless J.F. Conditional versus unconditional confidence intervals for the parameters of the Weibull distribution. J. Amer. Statist. Assoc. 68 (1973) 665-669
20. Lawless J.F. Confidence interval estimation for the Weibull and extreme value distributions. Technometrics 20 (1978) 355-364
21. Lawless J.F. Statistical Models and Methods for Life-time Data Analysis (1982), Wiley, New York
22. Pace L., and Salvan A. Principles of Statistical Inference (1997), World Scientific, Singapore
23. Sen A., and Srivastava M. Regression analysis: Theory, Methods and Applications (1990), Springer, New York
24. Shun Z., and McCullagh P. Laplace approximation of high dimensional integrals. J. R. Statist. Soc. B 57 (1995) 749-760
25. Szkutnik Z. Most powerful invariant tests for binormality. Ann. Statist. 16 (1988) 292-301
26. Tierney L., and Kadane J.B. Accurate approximations for posterior moments and marginal densities. J. Amer. Statist. Assoc. 81 (1986) 82-87
27. Trottini M., and Spezzaferri F. A generalized predictive criterion for model selection. Canad. J. Statist. 30 (2002) 79-96
28. Uthoff V.A. The most powerful scale and location invariant test of the normal versus the double exponential. Ann. Statist. 1 (1973) 170-174
29. Yang Y. Regression with multiple candidate models: selecting or mixing?. Statistica Sinica 13 (2003) 783-809
30. Zucchini W. An introduction to model selection. J. Math. Psychol. 44 (2000) 41-61