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Original Articles

Model selection in finite mixture of regression models: a Bayesian approach with innovative weighted g priors and reversible jump Markov chain Monte Carlo implementation

, , , &
Pages 2456-2478 | Received 05 Apr 2014, Accepted 02 Jun 2014, Published online: 24 Jun 2014

REFERENCES

  • Naik PA, Shi P, Tsai CL. Extending the Akaike information criterion to mixture regression models. J Amer Statist Assoc. 2007;102:244–254. doi: 10.1198/016214506000000861
  • Khalili A, Chen J. Variable selection in finite mixture of regression models. J Amer Statist Assoc. 2007;102:1025–1038. doi: 10.1198/016214507000000590
  • Städler N, Bühlmann P, Van De Geer S. l1-penalization for mixture regression models. Test. 2010;19:209–256. doi: 10.1007/s11749-010-0197-z
  • Khalili A, Lin S. Regularization in finite mixture of regression models with diverging number of parameters. Biometrics. 2013;69:436–446. doi: 10.1111/biom.12020
  • Gupta M, Ibrahim JG. Variable selection in regression mixture modeling for the discovery of gene regulatory networks. J Amer Statist Assoc. 2007;102:867–880. doi: 10.1198/016214507000000068
  • Tran M-N, Nott DJ, Kohn R. Simultaneous variable selection and component selection for regression density estimation with mixtures of heteroscedastic experts. Electron J Statist. 2012;6:1170–1199. doi: 10.1214/12-EJS705
  • Zellner A. On assessing prior distributions and Bayesian regression analysis with g-prior distributions. In: Goel PK, Zellner A, editors. Bayesian inference and decision techniques essays in honor of Bruno de Finetti. Amsterdam: North-Holland/Elsevier; 1986. p. 233–243.
  • George EI, Foster DP. Calibration and empirical Bayes variable selection. Biometrika. 2000;87:731–747. doi: 10.1093/biomet/87.4.731
  • Fernändez C, Ley E, Steel M. Benchmark priors for Bayesian model averaging. J Econometrics. 2001;100:381–427. doi: 10.1016/S0304-4076(00)00076-2
  • Green PJ. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika. 1995;82:711–732. doi: 10.1093/biomet/82.4.711
  • Richardson S, Green PJ. On Bayesian analysis of mixtures with an unknown number of components. J R Stat Soc Ser B. 1997;59:731–792. doi: 10.1111/1467-9868.00095
  • Tadesse MG, Sha N, Vannucci M. Bayesian variable selection in clustering high-dimensional data. J Amer Statist Assoc. 2005;100:602–618. doi: 10.1198/016214504000001565
  • Titterington DM, Smith AFM, Makov UE. Statistical analysis of finite mixture distributions. New York: Wiley 1985.
  • George EI, McCulloch RE. Approaches for Bayesian variable selection. Statist Sinica. 1997;7:339–374.
  • Kass RE, Wasserman L. A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. J Amer Statist Assoc. 1995;90:928–934. doi: 10.1080/01621459.1995.10476592
  • Liang F, Paulo R, Molina G, Clyde MA, Berger JO. Mixtures of g priors for Bayesian variable selection. J Amer Statist Assoc. 2008;103:410–423. doi: 10.1198/016214507000001337
  • Foster DP, George EI. The risk inflation criterion for multiple regression. Ann Statist. 1994;22:1947–1975. doi: 10.1214/aos/1176325766
  • Stephens M. Dealing with label switching in mixture models. J R Stat Soc Ser B. 2000;62:795–809. doi: 10.1111/1467-9868.00265
  • Watnik MR. Pay for play: are baseball salaries based on performance? J Stat Educ. 1998;6(2). Available from: http://www.amstat.org/publications/jse/v6n2/datasets.watnik.html

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