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Communications in Statistics - Theory and Methods Volume 47, 2018 - Issue 2
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Original Articles

Optimal generalized logistic estimator

Nagarajah VarathanPostgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka;Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri LankaCorrespondencevarathan10gmail.com
&
Pushpakanthie WijekoonDepartment of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka
Pages 463-474 | Received 19 Oct 2016, Accepted 06 Mar 2017, Published online: 14 Sep 2017

References

  • Asar, Y. 2015. Some new methods to solve multicollinearity in logistic regression. Com-Munications in Statistics – Simulation and Computation. 10.1080/03610918.2015.1053925.
  • Asar, Y., and A. Genç. 2016. New shrinkage parameters for the Liu-type logistic estimators. Communications in Statistics- Simulation and Computation 45 (3):1094–103. 10.1080/03610918.2014.995815.
  • Gibbons, D. G. 1981. A simulation study of some ridge estimators. Journal of the American Statistical Association 76:131–39. 10.1080/01621459.1981.10477619.
  • Inan, D., and B. E. Erdogan. 2013. Liu-Type logistic estimator. Communications in Statistics-Simulation and Computation 42 (7):1578–86. 10.1080/03610918.2012.667480.
  • Kibria, B. M. G. 2003. Performance of some new ridge regression estimators. Communications in Statistics: Theory and Methods 32:419–35.
  • Liang, K.-Y., and S. L. Zeger. 1986. Longitudinal data analysis using generalized linear models. Biometrika 73:13–22. 10.1093/biomet/73.1.13.
  • Liu, K. 1993. A new class of biased estimate in linear regression. Communications in Statistics: Theory and Methods 22:393–402.
  • Mansson, G., B. M. G. Kibria, and G. Shukur. 2012. On Liu estimators for the logit regression model. The Royal Institute of Technology, Centre of Excellence for Science and Innovation Studies (CESIS), Sweden, Paper No. 259.
  • McDonald, G. C., and D. I. Galarneau. 1975. A Monte Carlo evaluation of some ridge type estimators. Journal of the American Statistical Association 70:407–16.
  • Muniz, G., and B. M. G. Kibria. 2009. On some ridge regression estimators: an Empirical Comparisons. Communications in Statistics- Simulation and Computation 38:621–30. 10.1080/03610910802592838.
  • Rao, C. R., and H. Toutenburg. 1995. Linear Models: LeastSquares and Alternatives. Second Edition. New York: Springer-Verlag.
  • Schaefer, R. L., L. D. Roi, and R. A. Wolfe. 1984. A ridge logistic estimator. Communications in Statistics – Theory and Methods 13:99–113. 10.1080/03610928408828664.
  • Şiray, G. U., S. Toker, and S. Kaçiranlar. 2015. On the restricted Liu estimator in logistic regression model. Communications in Statistics- Simulation and Computation 44:217–32. 10.1080/03610918.2013.771742.
  • Urgan, N. N., and M. Tez. 2008. Liu estimator in logistic regression when the data are collinear. International Conference. “Continuous Optimization and Knowledge-Based Technologies”. pp. 323–27.
  • Varathan, N., and P. Wijekoon. 2016. Logistic Liu Estimator under stochastic linear restrictions. Statistical Papers. 10.1007/s00362-016-0856-6.
  • Wedderburn, R. W. M. 1974. Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method. Biometrika 61:439–47.
  • Wu, J., and Y. Asar. 2016. On almost unbiased ridge logistic estimator for the logistic regression model. Hacettepe Journal of Mathematics and Statistics 45 (3):989–98.
  • Xinfeng, C. 2015. On the almost unbiased ridge and Liu estimator in the logistic regression model. International Conference on Social Science, Education, Management and Sports Education. Atlantis Press: 1663–65.

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