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Articles

A short note on fitting a single-index model with massive data

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Pages 49-60 | Received 17 Jun 2021, Accepted 02 Oct 2022, Published online: 20 Oct 2022

References

  • Chen, X., Liu, W., & Zhang, Y. (2019). Quantile regression under memory constraint. The Annals of Statistics, 47(6), 3244–3273. https://doi.org/10.1214/18-AOS1777
  • Chen, X. Y., & Xie, M. G. (2014). A split-and-conquer approach for analysis of extraordinarily large data. Statistica Sinica, 24(4), 1655–1684. https://doi.org/10.5705/ss.2013.088
  • Christou, E., & Akritas, M. (2016). Single index quantile regression for heteroscedastic data. Journal of Multivariate Analysis, 150, 169–182. https://doi.org/10.1016/j.jmva.2016.05.010
  • Delecroix, M., Hristache, M., & Patilea, V. (2006). On semiparametric M-estimation in single-index regression. Journal of Statistical Planning and Inference, 136(3), 730–769. https://doi.org/10.1016/j.jspi.2004.09.006
  • Ichimura, H. (1993). Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. Journal of Econometrics, 58(1-2), 71–120. https://doi.org/10.1016/0304-4076(93)90114-K
  • Jiang, R., Guo, M. F., & Liu, X. (2020). Composite quasi-likelihood for single-index models with massive datasets. Communications in Statistics – Simulation and Computation, 51(9), 5024–5040. https://doi.org/10.1080/03610918.2020.1753074
  • Jiang, R., Qian, W. M., & Zhou, Z. G. (2016). Weighted composite quantile regression for single-index models. Journal of Multivariate Analysis, 148, 34–48. https://doi.org/10.1016/j.jmva.2016.02.015
  • Jiang, R., Zhou, Z. G., Qian, W. M., & Chen, Y. (2013). Two step composite quantile regression for single-index models. Computational Statistics & Data Analysis, 64, 180–191. https://doi.org/10.1016/j.csda.2013.03.014
  • Jordan, M., Lee, J., & Yang, Y. (2019). Communication-efficient distributed statistical learning. Journal of the American Statistical Association, 14(526), 668–681. https://doi.org/10.1080/01621459.2018.1429274
  • Lin, N., & Xi, R. (2011). Aggregated estimating equation estimation. Statistics and Its Interface, 4(1), 73–83. https://doi.org/10.4310/SII.2011.v4.n1.a8
  • Schifano, E., Wu, J., Wang, C., Yan, J., & Chen, M. H. (2016). Online updating of statistical inference in the big data setting. Technometrics, 58(3), 393–403. https://doi.org/10.1080/00401706.2016.1142900
  • Tang, Y., Wang, H., & Liang, H. (2018). Composite estimation for single-index models with responses subject to detection limits. Scandinavian Journal of Statistics, 45(3), 444–464. https://doi.org/10.1111/sjos.v45.3
  • Wang, J. L., Xue, L., Zhu, L., & Chong, Y. (2010). Estimation for a partial-linear single-index model. The Annals of Statistics, 38(1), 246–274. https://doi.org/10.1214/09-AOS712
  • Wu, T., Yu, K., & Yu, Y. (2010). Single-index quantile regression. Journal of Multivariate Analysis, 101(7), 1607–1621. https://doi.org/10.1016/j.jmva.2010.02.003
  • Xia, Y., Tong, H., Li, W., & Zhu, L. X. (2002). An adaptive estimation of dimension reduction space. Journal of the Royal Statistical Society Series B, 64(3), 363–410. https://doi.org/10.1111/rssb.2002.64.issue-3
  • Zhu, L., & Xue, L. (2006). Empirical likelihood confidence regions in a partially linear single-index model. Journal of the Royal Statistical Society: Series B, 68(3), 549–570. https://doi.org/10.1111/rssb.2006.68.issue-3