Empiricial Comparison between Some Model Selection Criteria

References

• Akaike , H. ( 1973 ). Information theory and an extension of maximum likelihood principle. Second International Symposium on Information Theory. Akademia Kiado, pp. 267–281 .
   Google Scholar
• Atkinson , A. C. ( 1970 ). A method for discriminating between models . Journal of the Royal Statistical Society B 32 : 323 – 344 .
   Google Scholar
• Bozdogan , H. ( 2000 ). Akaike's information criterion and recent development in information complexity . Journal of Mathematical Psychology 44 : 62 – 91 .
   PubMed Web of Science ®Google Scholar
• Commenges , D. , Sayyareh , A. , Letenneur , L. , Guedj , J. , Bar-Hen , A. ( 2008 ). Estimating a difference of Kullback–Leibler risks using a normalized difference of AIC . The Annals of Applied Statistics 2 ( 3 ): 1123 – 1142 .
   Web of Science ®Google Scholar
• Cox , D. R. ( 1961 ). Test of separate families of hypothesis . Proceeding of the Fourth Berkeley Symposium on Mathematical Statistics and Probability 1 : 105 – 123 .
   Google Scholar
• Cox , D. R. ( 1962 ). Further result on tests of separate families of hypothesis . Journal of the Royal Statistical Society B 24 : 406 – 424 .
   Google Scholar
• Dastoor , N. K. ( 1983 ). Some aspects of testing non nested hypothesis . Journal of Econometrica 21 : 213 – 228 .
   Web of Science ®Google Scholar
• Davidson , R. , MacKinnon , J. G. ( 1981 ). Several tests for model specification in the presence of alternative hypotheses . Econometrica 49 : 781 – 793 .
   Web of Science ®Google Scholar
• Davidson , R. , MacKinnon , J. G. ( 2002 ). Bootstrap J tests of nonnested linear regression models . Journal of Econometrics 109 : 167 – 193 .
   Web of Science ®Google Scholar
• deLeeuw , J. ( 1992 ). Introduction to Akaike (1973) information theory and an extension of the maximum likelihood principle . In: Kotz , S. , Johnson , N. L. , eds. Breakthroughs in Statistics . New York : Springer , pp. 599 – 609 .
   Google Scholar
• Genius , M. , Strazzera , E. ( 2002 ). A note about model selection and tests for non nested contingent valuation models . Economic Letters 74 : 363 – 370 .
   Web of Science ®Google Scholar
• Fisher , G. R. , McAleer , M. ( 1981 ). Alternative procedures and associated tests of significance for non nested hypotheses . Journal of Econometrics 16 : 103 – 119 .
   Web of Science ®Google Scholar
• Huber , P. J. ( 1967 ). The behavior of maximum likelihood estimate under nonstandard conditions. Proc. Fifth Berkeley Symposium in Mathematical Statistics and Probability. Berkeley, University of California Press, pp. 221–233 .
   Google Scholar
• Kass , R. E. , Raftery , A. E. ( 1995 ). Bayes factors . Journal of the American Statistical Association 90 : 773 – 795 .
   Web of Science ®Google Scholar
• Kullback , S. , Leibler , R. A. ( 1951 ). On information and sufficiency . Annals of Mathematical Statistics 22 : 79 – 86 .
   Google Scholar
• Massart , P. ( 2007 ). Ecole d'été de probabilités de Saint-Flour 2003 . Lecture Notes in Mathematics 1896 , Berlin/Heidelberg : Springer .
   Google Scholar
• Pesaran , M. H. ( 1974 ). On the general test of model selection . Review of Economic Studies 41 : 153 – 171 .
   Web of Science ®Google Scholar
• Pesaran , M. H. , Deaton , A. S. ( 1978 ). Testing non nested nonlinear regression models . Econometrica 46 : 667 – 694 .
   Web of Science ®Google Scholar
• Schwarz , G. ( 1978 ). Estimating the dimension of a model . Annals of Statistics 6 : 461 – 464 .
   Web of Science ®Google Scholar
• Shibata , R. ( 1983 ). Asymptotic mean efficiency of a selection of regression variables . Annals of the Institute of Statistical Mathematics 35 : 415 – 423 .
   Web of Science ®Google Scholar
• Shimodiara , H. ( 1998 ). An application of multiple comparison techniques to model selection . Annals of Institute Statistical Mathematics 50 ( 1 ): 1 – 13 .
   Web of Science ®Google Scholar
• Shimodaira , H. ( 2001 ). Multiple comparisons of log-likelihoods and combining non nested models with application to phylogenetic tree selection . Communications in Statistics 30 : 1751 – 1772 .
   Google Scholar
• Vuong , Q. H. ( 1989 ). Likelihood ratio tests for model selection and non nested hypotheses . Econometrica 57 ( 2 ): 307 – 333 .
   Web of Science ®Google Scholar
• Yanagihara , H. , Ohomoto , C. (2005). On distribution of AIC in linear regression models. Journal of Statistical Planning and Inference 133:417–433.
   Web of Science ®Google Scholar
• Wald , A. ( 1949 ). Note on consistency of maximum likelihood estimate . Annals of Mathematical Statistics 60 : 595 – 603 .
   Google Scholar
• White , H. ( 1982a ). Maximum likelihood estimation of misspecified models . Econometrica 50 : 1 – 26 .
   Web of Science ®Google Scholar
• White , H. ( 1982b ). Regularity conditions for Cox's test of non nested hypotheses . Journal of Econometrics 19 : 301 – 318 .
   Web of Science ®Google Scholar