Bayes Factors and Choice Criteria for Linear Models

作者: A. F. M. Smith , D. J. Spiegelhalter

DOI: 10.1111/J.2517-6161.1980.TB01122.X

关键词:

摘要: … The local Bayes factor is shown to have a close relationship with the Akaike Information Criterion. …

参考文章(13)
M. Stone, An Asymptotic Equivalence of Choice of Model by Cross-Validation and Akaike's Criterion Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 44- 47 ,(1977) , 10.1111/J.2517-6161.1977.TB01603.X
E. J. Hannan, B. G. Quinn, The Determination of the Order of an Autoregression Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 41, pp. 190- 195 ,(1979) , 10.1111/J.2517-6161.1979.TB01072.X
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
A. C. ATKINSON, Posterior probabilities for choosing a regression model Biometrika. ,vol. 65, pp. 39- 48 ,(1978) , 10.1093/BIOMET/65.1.39
Hirotogu Akaike, Information Theory and an Extension of the Maximum Likelihood Principle international symposium on information theory. ,vol. 1, pp. 610- 624 ,(1973) , 10.1007/978-1-4612-1694-0_15
D. V. LINDLEY, A STATISTICAL PARADOX Biometrika. ,vol. 44, pp. 187- 192 ,(1957) , 10.1093/BIOMET/44.1-2.187
Harold Jeffreys, R. Bruce Lindsay, Theory of probability ,(1939)
Gideon Schwarz, Estimating the Dimension of a Model Annals of Statistics. ,vol. 6, pp. 461- 464 ,(1978) , 10.1214/AOS/1176344136
F. B. Lempers, Kenneth M. Gaver, Posterior probabilities of alternative linear models ,(1971)