229
Views
5
CrossRef citations to date
0
Altmetric
Articles

Robust mixture regression modeling using the least trimmed squares (LTS)-estimation method

ORCID Icon & ORCID Icon
Pages 2184-2196 | Received 10 Oct 2016, Accepted 05 Jun 2017, Published online: 18 Jul 2017

References

  • Agulló, J., Croux, C., Van Aelst, S. (2008). The multivariate least-trimmed squares estimator. Journal of Multivariate Analysis 99(3):311–338.
  • Bai, X. (2010). Robust Mixture of Regression Models. Master thesis, Kansas State University, Manhattan, KS.
  • Bai, X., Yao, W., Boyer, J. E. (2012). Robust fitting of mixture regression models. Computational Statistics and Data Analysis 56(7):2347–2359.
  • Bashir, S., Carter, E. M. (2012). Robust mixture of linear regression models. Communications in Statistics-Theory and Methods 41(18):3371–3388.
  • Biernacki, C., Celeux, G., Govaert, G. (2000). Assessing a mixture model for clustering with the integrated completed likelihood. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(3):719–725.
  • Dempster, A. P., Laird, N. M., Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B 39:1–38.
  • Dias, J. G., Wedel, M. (2004). An empirical comparison of EM, SEM and MCMC performance for problematic Gaussian mixture likelihoods. Statistics and Computing 14:323–332.
  • Doğru, F. Z. (2015). Robust Parameter Estimation in Mixture Regression Models. Ph.D. dissertation, Ankara University, Ankara, Turkey.
  • Doğru, F. Z., Arslan, O. (2015). Robust mixture regression modeling based on the Generalized M (GM)-estimation method. arXiv preprint arXiv:1511.07384.
  • Doğru, F. Z., Arslan, O. (2016a). Robust mixture regression using the mixture of different distributions. In: Agostinelli, C., et al., eds. Recent Advances in Robust Statistics: Theory and Applications. India: Springer, pp. 57–79.
  • Doğru, F. Z., Arslan, O. (2016b). Parameter estimation for mixtures of skew Laplace normal distributions and application in mixture regression modeling. Communications in Statistics - Theory and Methods, (just-accepted).
  • Doğru, F. Z., Arslan, O. (2017). Robust mixture regression based on the skew t distribution. Revista Colombiana de Estadística 40(1):45–64.
  • García-Escudero, L. A., Gordaliza, A., Mayo-Iscar, A., San Martín, R. (2010). Robust clusterwise linear regression through trimming. Computational Statistics and Data Analysis 54:3057–3069.
  • Markatou, M. (2000). Mixture models, robustness, and the weighted likelihood methodology. Biometrics 56(2):483–486.
  • Neykov, N., Filzmoser, P., Dimova, R., Neytchev, P. (2007). Robust fitting of mixtures using the trimmed likelihood estimator. Computational Statistics and Data Analysis 52(1):299–308.
  • Quandt, R. E. (1972). A new approach to estimating switching regressions. Journal of the American Statistical Association 67(338):306–310.
  • Quandt, R. E., Ramsey, J. B. (1978). Estimating mixtures of normal distributions and switching regressions. Journal of the American Statistical Association 73(364):730–752.
  • Rousseeuw, P. J. (1984). Least median of squares regression. Journal of the American Statistical Association 79:871–880.
  • Shen, H., Yang, J., Wang, S. (2004). Outlier detecting in fuzzy switching regression models. In: Bussler, C., Fensel, D., eds. Artificial Intelligence: Methodology, Systems, and Applications (Lecture Notes in Computer Science). Vol. 3192. Berlin, Heidelberg: Springer, pp. 208–215.
  • Song, W., Yao, W., Xing, Y. (2014). Robust mixture regression model fitting by Laplace distribution. Computational Statistics and Data analysis 71:128–137.
  • Yao, W., Wei, Y., Yu, C. (2014). Robust mixture regression using the t-distribution. Computational Statistics and Data Analysis 71:116–127.
  • Zhang, J. (2013). Robust Mixture Regression Modeling with Pearson Type VII Distribution. Master thesis, Kansas State University, Manhattan, KS.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.