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Original Articles

Liu-type estimator for the gamma regression model

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Pages 2035-2048 | Received 27 Jan 2018, Accepted 05 Aug 2018, Published online: 17 Nov 2018

References

  • Akdeniz, F., and E. A. Duran. 2010. Liu-type estimator in semiparametric regression models. Journal of Statistical Computation and Simulation 80 (8):853–71.
  • Al-Abood, A. M., and D. H. Young. 1986. Improved deviance goodness of fit statistics for a gamma regression model. Communications in Statistics - Theory and Methods 15 (6):1865–74.
  • Algamal, Z. Y. 2018a. Developing a ridge estimator for the gamma regression model. Journal of Chemometrics e3054. https://doi.org/10.1002/cem.3054
  • Algamal, Z. Y. 2018b. Shrinkage estimators for gamma regression model. Electronic Journal of Applied Statistical Analysis 11 (1):253–68.
  • Algamal, Z. Y., and M. H. Lee. 2017. A novel molecular descriptor selection method in QSAR classification model based on weighted penalized logistic regression. Journal of Chemometrics 31 (10):e2915.
  • Algamal, Z. Y., M. H. Lee, A. M. Al-Fakih, and M. Aziz. 2015. High-dimensional QSAR prediction of anticancer potency of imidazo [4, 5-b] pyridine derivatives using adjusted adaptive LASSO. Journal of Chemometrics 29 (10):547–56.
  • Asar, Y. 2017. Some new methods to solve multicollinearity in logistic regression. Communications in Statistics-Simulation and Computation 46 (4):2576–86.
  • Asar, Y. 2018. Liu-Type Negative Binomial Regression: A Comparison of Recent Estimators and Applications. In Trends and Perspectives in Linear Statistical Inference, 23–39. Cham: Springer.
  • 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.
  • Asar, Y., B. Yüzbaş I, M. Arashi, and J. Wu. 2017. Preliminary testing derivatives of a linear unified estimator in the logistic regression model. arXiv Preprint arXiv 1708:09004.
  • De Jong, P., and G. Z. Heller. 2008. Generalized linear models for insurance data. Vol. 10. Cambridge: Cambridge University Press.
  • Dunder, E., S. Gumustekin, and M. A. Cengiz. 2016. Variable selection in gamma regression models via artificial bee colony algorithm. Journal of Applied Statistics 45(1):8–16. doi:10.1080/02664763.2016.1254730.
  • Farebrother, R. W. 1976. Further results on the mean square error of ridge regression. Journal of the Royal Statistical Society B 38:248–50.
  • Hoerl, A. E., and R. W. Kennard. 1970. Ridge regression: Biased estimation for nonorthogonal problems. Technometrics 12 (1):55–67.
  • Inan, D., and B. E. Erdogan. 2013. Liu-type logistic estimator. Communications in Statistics-Simulation and Computation 42 (7):1578–86.
  • Khuri, A. I. 2010. Linear model methodology. FL Chapman & Hall/CRC Press.
  • Kibria, B. G. 2003. Performance of some new ridge regression estimators. Communications in Statistics-Simulation and Computation 32 (2):419–35.
  • Kurtoğlu, F., and M. R. Özkale. 2016. Liu estimation in generalized linear models: Application on gamma distributed response variable. Statistical Papers 57 (4):911–28.
  • Liu, K. 1993. A new class of biased estimate in linear regression. Communications in Statistics-Theory and Methods 22 (2):393–402.
  • Liu, K. 2003. Using Liu-type estimator to combat collinearity. Communications in Statistics-Theory and Methods 32 (5):1009–20.
  • Mackinnon, M. J., and M. L. Puterman. 1989. Collinearity in generalized linear models. Communications in Statistics-Theory and Methods 18 (9):3463.
  • Malehi, A. S., F. Pourmotahari, and K. A. Angali. 2015. Statistical models for the analysis of skewed healthcare cost data: A simulation study. Health Economics Review 5 (1):11.
  • Månsson, K. 2012. On ridge estimators for the negative binomial regression model. Economic Modelling 29 (2):178–84.
  • Månsson, K., B. G. Kibria, and G. Shukur. 2012. On Liu estimators for the logit regression model. Economic Modelling 29 (4):1483–8.
  • Månsson, K., and G. Shukur. 2011. A Poisson ridge regression estimator. Economic Modelling 28 (4):1475–81.
  • R Development Core Team 2010. R: A language and environment for statistical computing. R foundation for statistical computing. Vienna, Austria. ISBN 3-900051-07-0.
  • Rao, R. C., S. Helge Toutenburg, and C. Heumann. 2008. Linear models and generalizations, least squares and alternatives. 3rd ed. New York: Springer.
  • Schaefer, R. L., L. D. Roi, and R. A. Wolfe. 1984. A ridge logistic estimator. Communications in Statistics-Theory and Methods 13 (1):99–113.
  • Segerstedt, B. 1992. On ordinary ridge regression in generalized linear models. Communications in Statistics-Theory and Methods 21 (8):2227–46.
  • Urgan, N. N., Tez, M. (2008). Liu estimator in logistic regression when the data are collinear. 20th EURO Mini Conference pp. 323–27.
  • Wasef, H. M. 2016. A derivation of prediction intervals for gamma regression. Journal of Statistical Computation and Simulation 86 (17):3512–26.
  • Wu, J., and Y. Asar. 2017. More on the restricted Liu estimator in the logistic regression model. Communications in Statistics-Simulation and Computation 46 (5):3680–3689.

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