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Original Articles

Double shrunken selection operator

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Pages 666-674 | Received 25 Jan 2017, Accepted 10 Oct 2017, Published online: 15 Dec 2017

References

  • Ahmed, S. E. 2014. Penalty, Shrinkage and Pretest Strategies: Variable Selection and Estimation. New York: Springer.
  • Ahmed, S. E. 2001. Shrinkage estimation of regression coefficients from censored data with multiple observations. In: Ahmed, S. E., Reid, N., eds., Lecture Notes in Statistics. New York: Springer-Verlag, 148, pp. 103–120.
  • Ahmed, S. E., I. Kareev, S. Suraphee, A. Volodin, and I. Volodin. 2015. Confidence sets based on the positive part James–Stein estimator with the asymptotically constant coverage probability. Journal of Statistical Computation and Simulation 85 (12):2506–2513.
  • Ahmed, S. E., and S. Fallahpour. 2012. Shrinkage estimation strategy in quasi-likelihood models. Statistics & Probability Letters 82:2170–2179.
  • Ahmed, S. E., K. A. Doksum, S. Hossain, and J. You. 2007. Shrinkage, pretest and absolute penalty estimators in partially linear models. Australian & New Zealand Journal of Statistics 49 (4):435–454.
  • Asar, Y. 2017. Some new methods to solve multicollinearity in logistic regression. Communications in Statistics: Simulation and Computation 46:2576–2586.
  • Ali, A. M., and M. A. Ehanses Saleh. 1990. Estimation of the mean vector of a multivariate normal distribution under symmetry. Journal of Statistical Computation and Simulation 35 (3-4):209–226.
  • Baranchik, A. J. 1970. A family of minimax estimators of the mean of a multivariate normal distribution. Annals of Mathematical Statistics 41 (2):642–645.
  • Chang, S. -M. 2015. Double shrinkage estimators for large sparse covariance matrices. Journal of Statistical Computation and Simulation 85 (8):1497–1511.
  • Fan, J., and R. Li. 2001. Variable selection via nonconcave penalized likelihood and its oracle properties. Journal of the American Statistical Association 96 (456):1348–1360.
  • Groβ, J. 2012. Linear Regression. New York: Springer Science & Business Media.
  • Hansen, B. E. 2007. Least squares model averaging. Econometrica 75 (4):1175–1189.
  • Hansen, B. E. 2016. The risk of James–Stein and Lasso shrinkage. Econometric Reviews 35:1456–1470.
  • James, W., and C. Stein. 1961. Estimation of quadratic loss. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability 1:361–379.
  • Knight, K., and W. Fu. 2000. Asymptotics for LASSO-type estimators. Annals of Statistics 10:1356–1378.
  • Liu, J. S. 1994. Siegel’s formula via Stein’s identities. Statistics & Probability Letters 21:247–251.
  • Roozbeh, M., and M. Arashi. 2016. Shrinkage ridge regression in partial linear models. Communications in Statistics: Simulation and Computation 45 (20):6022–6044.
  • Saleh, A. K. Md. Ehsanes, 2006. Theory of Preliminary Test and Stein-Type Estimation with Applications. United Stated of America: Wiley.
  • Saleh, A. K. Md. Ehsanes, and E. Raheem. 2015a. Improved LASSO, arXiv:1503.05160v1, 1–46.
  • Saleh, A. K. Md. Ehsanes, and E. Raheem. 2015b. Penalty, shrinkage, and preliminary test estimators under full model hypothesis. arXiv:1503.06910, 1–28.
  • Stamey, T. A., J. N. Kabalin, J. E. McNeal, I. M. Johnstone, F. Freiha, E. A. Redwine, and N. Yang. 1989. Prostate specific antigen in the diagnosis and treatment of adenocarcinoma of the prostate: II. Radical prostatectomy treated patients. Journal of Urology 141 (5):1076–1083.
  • Stein, C. 1981. Estimation of the mean of a multivariate normal distribution. Annals of Statistics 9:1135–1151.
  • Tibshirani, R. 1996. Regression shrinkage and selection via the LASSO. Journal of the Royal Statistical Society B: Statistical Methodology 58 (1):267–288.
  • Yüzbaşı, B., S. E. Ahmed, and M. Gungor. 2017. Improved penalty strategies in linear regression models. REVSTAT–Statistical of Journal 15 (2):251–276.
  • Yüzbaşı, B., and S. E. Ahmed. 2016. Shrinkage and penalized estimation in semi-parametric models with multicollinear data. Journal of Statistical Computation and Simulation 86 (17):3543–3561.
  • Yuan, M., and Y. Lin. 2006. Model selection and estimation in regression with grouped variables. Journal of the Royal Statistical Society B: Statistical Methodology 68 (1):49–67.
  • Zhang, C. H. 2010. Nearly unbiased variable selection under minimax concave penalty. Annals of Statistics 38 (2):894–942.
  • Zou, H. 2006. The adaptive lasso and its oracle properties. Journal of the American Statistical Association 101 (476):1418–1429.

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