Composite likelihood bayesian information criteria for model selection in high-dimensional data

Journal of the American Statistical Association

Volumn 105, Issue 492, 2010, Pages 1531-1540

  Gao, Xin ^a   Song, Peter X K ^b  

^a YORK UNIVERSITY   (Canada)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Consistency; Model selection; Pseudo likelihood; Variable selection

Indexed keywords

EID: 78651310903     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2010.tm09414     Document Type: Article

References (34)

1. Akaike, H. (1973), "Information Theory and an Extension of the Maximum Likelihood Principle", in Proceedins of the Second International Symposium on Information Theory, eds. B. N. Petrov and F. Caski, Budapest: Akademiai Kiado, pp. 267-281. [1531]
2. Berger, J. O., Ghosh, J. K., and Mukhopadhyay, N. (2003), "Approximations and Consistency of Bayes Factors as Model Dimension Grows", Journal of Statistical Planning and Inference, 112, 241-258. [1531]
3. Chakrabarti, A., and Ghosh, J. K. (2006), "A Generalization of BIC for the General Exponential Family", Journal of Statistical Planning and Inference, 136, 2847-2872. [1531]
4. Chen, J. H., and Chen, Z. H. (2008), "Extended Bayesian Information Criteria for Model Selection With Large Model Spaces", Biometrika, 95, 759-771. [1531-1534, 1539]
5. (2009), "Extended BIC for Small-n-Large-P Sparse GLM", manuscript, available at http://www.stat.nus.edu.sg/~stachenz/ChenChen.pdf. [1531]
6. Cox, D. R., and Hinkley, D. V. (1974), Theoretical Statistics, London: Chapman & Hall. [1534]
7. Cox, D. R., and Reid, N. (2004), "A Note on Pseudolikelihood Constructed From Marginal Densities", Biometrika, 91, 729-737. [1531]
8. Csörgö, M., and Horváth, L. (1997), Limit Theorems in Change-Point Analysis, New York: Wiley. [1531]
9. Fearnhead, P., and Donnelly, P. (2002), "Approximate Likelihood Methods for Estimating Local Recombination Rates", Journal of the Royal Statistical Society, Ser. B, 64, 657-680. [1531]
10. Geys, H., Molenberghs, G., and Ryan, L. M. (1997), "Pseudo- Likelihood Inference for Clustered Binary Data", Communications in Statistics: Theory and Methods, 26, 2743-2767. [1536-1538]
11. (1999), "Pseudolikelihood Modeling of Multivariate Outcomes in Developmental Toxicology", Journal of the American Statistical Association, 94, 734-745. [1536, 1538]
12. Hanfelt, J. J. (2004), "Composite Conditional Likelihood for Sparse Clustered Data", Journal of the Royal Statistical Society, Ser. B, 66, 259-273. [1536, 1538]
13. Haughton, D. M. A. (1988), "On the Choice of a Model to Fit Data From an Exponential Family", The Annals of Statistics, 16, 342-355. [1531]
14. Heagerty, P. J., and Lele, S. R. (1998), "A Composite Likelihood Approach to Binary Spatial Data", Journal of the American Statistical Association, 93, 1099-1111. [1531]
15. Hjort, N. L., and Omre, H. (1994), "Topics in Spatial Statistics", Scandinavian Journal of Statistics, 21, 289-357. [1531]
16. Jiang, W. (2007), "Bayesian Variable Selection for High Dimensional Generalized Linear Models: Convergence Rates of the Fitted Densities", The Annals of Statistics, 35, 1487-1511. [1531]
17. Konishi, S., Ando, T., and Imoto, S. (2004), "Bayesian Information Criteria and Smoothing Parameter Selection in Radial Basis Function Networks", Biometrika, 91, 27-43. [1531]
18. Li, Y., and Lin, X. (2006), "Semiparametric Normal Transformation Models for Spatially Correlated Survival Data", Journal of the American Statistical Association, 101, 591-603. [1531]
19. Lindsay, B. (1988), "Composite Likelihood Methods", in Statistical Inference From Stochastic Processes, ed. N. U. Prabhu, Providence, RI: American Mathematical Society, pp. 221-239. [1531, 1532]
20. Parner, E. T. (2001), "A Composite Likelihood Approach to Multivariate Survival Data", Scandinavian Journal of Statistics, 28, 295-302. [1531]
21. Rao, C. R., and Wu, Y. H. (1989), "A Strongly Consistent Procedure for Model Selection in a Regression Problem", Biometrika, 76, 369-374. [1531]
22. Renard, D., Molenberghs, G., and Geys, H. (2004), "A Pairwise Likelihood Approach to Estimation in Multilevel Probit Models", Computational Statistics & Data Analysis, 44, 649-667. [1531]
23. Schwarz, G. (1978), "Estimating the Dimension of a Model", The Annals of Statistics, 6, 461-464. [1531, 1532]
24. Song, P. X.-K. (2007), Correlated Data Analysis: Modeling, Analytics and Applications, New York: Springer. [1532]
25. Tierney, L., and Kadane, J. B. (1986), "Accurate Approximations for Posterior Moments and Marginal Densities", Journal of the American Statistical Association, 81, 82-86. [1533]
26. Tierney, L., Kass, R. E., and Kadane, J. B. (1989), "Fully Exponential Laplace Approximation to Expectations and Variances of Nonpositive Functions", Journal of the American Statistical Association, 84, 710-716. [1533]
27. Varin, C. (2008). "On Composite Marginal Likelihoods", Advances in Statistical Analysis, 92, 1-28. [1531, 1533]
28. Varin, C., and Vidoni, P. (2005), "A Note on Composite Likelihood Inference and Model Selection", Biometrika, 92, 519-528. [1531, 1533, 1534]
29. Wang, H., Li, R., and Tsai, C.-L. (2007), "Tuning Parameter Selector for the Smoothly Clipped Absolute Deviation Method", Biometrika, 94, 553-568. [1531]
30. Wang, L., and Qu, A. (2009), "Consistent Model Selection and Data-Driven Smooth Tests for Longitudinal Data in the Estimating Equations Approach", Journal of the Royal Statistical Society, Ser. B, 71, 177-190. [1531]
31. White, H. (1982), "Maximum Likelihood Estimation of Misspecified Models", Econometrica, 50, 1-25. [1534]
32. Yao, Y. C. (1988), "Estimating the Number of Change-Points via Schwarz Criterion", Statistics & Probability Letters, 6, 181-189. [1531]
33. Zhao, L. P., and Prentice, R. (1990), "Correlated Binary Regression Using a Quadratic Exponential Mode", Biometrika, 77, 642-648. [1537]
34. Zhao, Y., and Joe, H. (2005), "Composite Likelihood Estimation in Multivariate Data Analysis", Canadian Journal of Statistics, 33, 335-356. [1533, 1535]