A stochastic partitioning method to associate high-dimensional responses and covariates

Bayesian Analysis

Volumn 4, Issue 3, 2009, Pages 413-436

  Monni, Stefano ^a   Tadesse, Mahlet G ^b  

^a WEILL CORNELL MEDICAL COLLEGE   (United States)

^b GEORGETOWN UNIVERSITY   (United States)

Author keywords

CGH analysis; Markov chain Monte Carlo; Mixture model; Multivariate model selection; Parallel tempering

Indexed keywords

EID: 77953356238     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/09-BA416     Document Type: Article

References (16)

1. Abramowitz, M. and Stegun, I. (1972). "Stirling Numbers of the Second Kind." In Abramowitz, M. and Stegun, I. (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing, 824-825. New York: Dover.
2. Beiman, L. and Friedman, J. (1985). "Estimating optimal transformations for multiple regression and correlation (with discussion)." Journal of the American Statistical Association, 80: 580-619.
3. Breiman, L., Friedman, J., Olshen, R., and Stone, C. (1984). Classification and Regression Trees. Belmont, CA: Wadsworth.
4. Brown, P., Vannucci, M., and Fearn, T. (1998). "Multivariate Bayesian Variable Selection and Prediction." Journal of the Royal Statistical Society, Ser. B, 60: 627-641.
5. Bryant, P. and Williamson, J. (1978). "Asymptotic Behaviour of Classification Maximum Likelihood Estimates." Biometrika, 65: 273-281.
6. Bussey, K., Chin, K., Lababidi, S., Reimers, M., Reinhold, W., Ku, W., Gwadry, F., Kouros-Mehr, A., Fridlyand, J., Jain, A., Collins, C., Nishizuka, S., Tonon, G., Roschke, A., Gehlhaus, K., Kirsch, I., Scudiero, D., Gray, J., and Weinstein, J. (2006). "Integrating data on DNA copy number with gene expression levels and drug sensitivities in the NCI-60 cell line panel." Molecular Cancer Therapeutics, 5: 853-867.
7. Chipman, H., George, E., and McCulloch, R. (1998). "Bayesian CART Model Search." Journal of the American Statistical Association, 93: 935-948.
8. George, E. and McCulloch, R. (1997). "Approaches for Bayesian variable selection." Statistica Sinica, 7: 339-373.
9. Geyer, C. (1991). "Markov Chain Monte Carlo Maximum Likelihood." In Keramigas, E. (ed.), Computing Science and Statistics, 156-163. Fairfax: Interface Foundation.
10. Holmes, C., Denison, D., Ray, S., and Mallick, B. (2005). "Bayesian Prediction via Partitioning." Journal of Computational and Graphical Statistics, 14: 811-830.
11. Jiang, W. and Tanner, M. (1999). "Hierarchical mixtures-of-experts for exponential family regression models: approximation and likelihood estimation." The Annals of Statistics, 27: 987-1011.
12. Lau, J. and Green, P. (2007). "Bayesian model based clustering procedures." Journal of Computational and Graphical Statistics, 16: 526-558.
13. Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E. (1953). "Equations of State Calculations by Fast Computing Machines." Journal of Chemical Physics, 21: 1087-1091.
14. Peel, D. and McLachlan, G. (2000). "Robust mixture modelling using the t distribution." Statistics and Computing, 10: 339-348.
15. Tibshirani, R. (1988). "Estimating transformations for regression via additivity and variance stabilization." Journal of the American Statistical Association, 83: 394-404.
16. Zou, H. and Hastie, T. (2005). "Regularization and Variable Selection via the Elastic Net." Journal of the Royal Statistical Society, Ser. B, 67: 301-320. 413