Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 45, 2016 - Issue 4
Submit an article Journal homepage
68
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The T-type estimate of a class of partially non linear models

Lele HuangSchool of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing, China
,
Tao HuDepartment of Statistics, School of Mathematical Sciences, Capital Normal University, Beijing, China
&
Hengjian CuiDepartment of Statistics, School of Mathematical Sciences, Capital Normal University, Beijing, ChinaCorrespondence[email protected]
Pages 976-999 | Received 02 Apr 2013, Accepted 10 Sep 2013, Published online: 10 Feb 2016

References

  • Bocheng, W., Jinguan, L., Fengchang, X. (2009). Statistical Diagnostics. Beijing: Higher Education Press.
  • Carroll, R. J., Ruppert, D. (1988). Transformation and Weighting in Regression, vol. 30. New York: Chapman & Hall/CRC.
  • Cui, H. (2004). On asymptotics of t-type regression estimation in multiple linear model. Sci. China Ser. A: Math. 47(4):628–639.
  • Cui, H. (2006a). T-type estimators and em algorithm in linear model and linear errors-in-variables model. Chinese J. Appl. Probab. Stat. 3: 013.
  • Cui, H. (2006b). T-type estimators and em algorithm in linear model and linear errors-in-variables model. Chinese J. Appl. Probab. Stat. 3: 013.
  • Engle, R.F., Granger, C.W.J., Rice, J., Weiss, A. (1986). Semiparametric estimates of the relation between weather and electricity sales. J. Am. Stat. Assoc. 81(394):310–320.
  • Fan, J., Huang, T. (2005). Profile likelihood inferences on semiparametric varying-coefficient partially linear models. Bernoulli 11(6):1031–1057.
  • Härdle, W., Liang, H., Gao, J. (2000). Partially Linear Models. Berlin: Physica Verlag.
  • He, X., Cui, H., Simpson, D.G. (2004). Longitudinal data analysis using t-type regression. J. Stat. Plan. Inf. 122(1):253–269.
  • He, X., Shi, P. (1996). Bivariate tensor-product b-splines in a partly linear model. J. Multivar. Anal. 58(2):162–181.
  • He, X., Simpson, D.G., Wang, G. (2000). Breakdown points of t-type regression estimators. Biometrika 87(3):675–687.
  • Hu, T., Cui, H. (2009). T-type estimators for a class of linear errors-in-variables models. Stat. Sinica 19(3):1013.
  • Hu, T., Cui, H. (2010). Sieve m-estimation for semiparametric varying-coefficient partially linear regression model. Sci. China Math. 53(8):1995–2010.
  • Huang, J. (1996). Efficient estimation for the proportional hazards model with interval censoring. Annals Stat. 24(2):540–568.
  • Huang, T.M., Chen, H. (2008). Estimating the parametric component of nonlinear partial spline model. J. Multivar. Anal. 99(8):1665–1680.
  • Hurvich, C.M., Tsai, C.L. (1989). Regression and time series model selection in small samples. Biometrika 76(2):297–307.
  • Kai, B., Li, R., Zou, H. (2011). New efficient estimation and variable selection methods for semiparametric varying-coefficient partially linear models. Annals Stat. 39(1):305.
  • Lange, K.L., Little, R.J.A., Taylor, J.M.G. (1989). Robust statistical modeling using the t distribution. J. Am. Stat. Assoc. 84(408):881–896.
  • Pollard, D. (1984). Convergence of Stochastic Process. New York: Springer-Verlag.
  • Robinson, P.M. (1988). Root-n-consistent semiparametric regression. Econometrica: J. Econ. Soc. 56:931–954.
  • Ruppert, D., Wand, M., Carroll, R. (2003). Semiparametric Regression. Cambridge: Cambridge University Press.
  • Shen, X., Wong, W.H. (1994). Convergence rate of sieve estimates. Annals Stat. 22:580–615.
  • Van der Vaart, A., Wellner, J. (1996). Weak Convergence and Empirical Processes: with Applications to Statistics. New York: Springer.
  • Wang, H.J., Zhu, Z., Zhou, J. (2009). Quantile regression in partially linear varying coefficient models. Annals Stat. 37(68):3841–3866.
  • Yatchew, A. (2003). Semiparametric Regression for the Applied Econometrician. Cambridge: Cambridge University Press.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.