Mixture of Regression Models with Single-Index

Article, Preprint English OPEN
Xiang, Sijia; Yao, Weixin;
  • Publisher: eScholarship, University of California
  • Subject: Statistics - Methodology | stat.ME
    arxiv: Statistics::Theory | Statistics::Applications | Statistics::Methodology | Statistics::Machine Learning

In this article, we propose a class of semiparametric mixture regression models with single-index. We argue that many recently proposed semiparametric/nonparametric mixture regression models can be considered special cases of the proposed model. However, unlike existing... View more
  • References (19)
    19 references, page 1 of 2

    Bohning, D. (1999), Computer-Assisted Analysis of Mixtures and Applications, Boca Raton, FL: Chapman and Hall/CRC.

    Chatterjee, S., Handcock, M.S. and Simmono , J.S. (1995). A casebook for a rst course in statistics and data analysis. John Wiley & Sons, Inc.

    Cook, R. D. and Li, B. (2002). Dimension reduction for conditional mean in regression. Annals of Statistics, 30, 455-474.

    Fan, J., Zhang, C. and Zhang, J. (2001). Generalized likelihood ratio statistics and Wilks phenomenon. The Annals of Statistics, 29, 153-193.

    Goldfeld, S.M. and Quandt, R.E. (1973). A Markov model for switching regressions. Journal of Econometrics, 1, 3-6.

    Hardle, W., Hall, P. and Ichimura, H. (1993). Optimal smoothing in single-index models. The Annals of Statistics, 21, 157-178.

    Henning, C. (2000). Identi ability of models for clusterwise linear regression. Journal of Classi cation, 17, 273-296.

    Huang, M., Li, R. and Wang, S. (2013). Nonparametric mixture of regression models. Journal of the American Statistical Association, 108, 929-941.

    Huang, M. and Yao, W. (2012). Mixture of regression models with varying mixing proportions: a semiparametric approach. Journal of the American Statistical Association, 107, 711-724.

    Ichimura, H. (1993). Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. Journal of Econometrics, 58, 71-120.

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