Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 49, 2020 - Issue 14
Submit an article Journal homepage
648
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Modified regression estimators using robust regression methods and covariance matrices in stratified random sampling

Tolga ZamanDepartment of Statistics, Faculty of Science, Çankırı Karatekin University, Turkey Çankırı; Correspondence[email protected]
&
Hasan BulutDepartment of Statistics, Faculty of Science, Ondokuz Mayıs University, Samsun, Turkey
Pages 3407-3420 | Received 18 Sep 2018, Accepted 24 Feb 2019, Published online: 04 Apr 2019

References

  • Abid, M., H. Z. Nazir, M. Riaz, Z. Lin, and H. M. Tahir. 2018. Improved ratio estimators using some robust measures. Hacettepe Journal of Mathematics and Statistics 47 (5):1375–93. doi:10.15672/HJMS.2017.442.
  • Bulut, H. 2014. Use of robust statistics in multivariate statistical analysis. Master thesis, Ondokuz Mayıs University. 377455.
  • Bulut, H., and Y. Öner. 2017. The evaluation of socio-economic development of development agency regions in Turkey using classical and robust principal component analyses. Journal of Applied Statistics 44 (16):2936–48. doi:10.1080/02664763.2016.1267115.
  • Ergül, B. 2006. Robust regression and applications. Master thesis, Eskişehir Osmangazi University. 184031.
  • Hampel, F. R. 1971. A general qualitative definition of robustness. The Annals of Mathematical Statistics 42 (6):1887–96. doi:10.1214/aoms/1177693054.
  • Huber, P. J. 1973. Robust regression: Asymptotics, conjectures and Monte Carlo. The Annals of Statistics 1 (5):799–821. doi:10.1214/aos/1176342503.
  • Kadılar, C., M. Candan, and H. Çıngı. 2007. Ratio estimators using robust regression. Hacettepe Journal of Mathematics and Statistics 36 (2):181–8.
  • Li, L. M. 2004. An algorithm for computing exact least-trimmed squares estimate of simple linear regression with constraints. Computational Statistics & Data Analysis 48:717–34. doi:10.1016/j.csda.2004.04.003.
  • Murthy, M. N. 1967. Sampling theory and methods. New Delhi, India: Statistical Publishing Society.
  • Nadia, H., and A. A. Mohammad. 2013. Model of robust regression with parametric and nonparametric methods. Mathematical Theory and Modeling 3:2739.
  • Noor-Ul-Amin, M., M. Q. Shahbaz, and C. Kadılar. 2016. Ratio estimators for population mean using robust regression in double sampling. Gazi University Journal of Science 29 (4):793–8.
  • Rousseeuw, P. J. 1985. Multivariate estimation with high breakdown point. In Mathematical statistics and applications, eds. W. Grossmann, G. C. Pflug, I. Vincze, and W. Wertz, 283–97. New York, NY: Springer.
  • Rousseeuw, P. J., and A. M. Leroy. 1987. Robust regression and outlier detection: Wiley series in probability and mathematical statistics. New York, NY: Wiley.
  • Rousseeuw, P. J., and K. van Driessen. 1999. A fast algorithm for the minimum covariance determinant estimator. Technometrics 41 (3):212–23. doi:10.2307/1270566.
  • Shabbir, J., and S. Gupta. 2006. A new estimator of population mean in stratified sampling. Communications in Statistics-Theory and Methods 35 (7):1201–9. doi:10.1080/03610920600629112.
  • Tukey, J. W. 1977. Exploratory data analysis. Boston, MA: Addison-Wesley.
  • Yohai, V. J. 1987. High breakdown-point and high efficiency robust estimates for regression. The Annals of Statistics 15 (2):642–56. doi:10.1214/aos/1176350366.
  • Zaman, T., and H. Bulut. 2018. Modified ratio estimators using robust regression methods. Communications in Statistics - Theory and Methods. doi:10.1080/03610926.2018.1441419.

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.