THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR

Volume: 9 Number: 2 June 1, 2016
  • İssam Dawoud
  • Selahattin Kaçıranlar.
EN

THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR

Abstract

biased estimation procedures have been proposed as an alternative to least squares, there has been little analysis of the predictive performance of the resulting equations. Therefore, we discuss the predictive performanceof the Two Parameter Ridge (2PR) estimator compared to ordinary least squares, principal components andridge regression estimators. Also, the theoretical results are illustrated by a numerical example and a regionis established where the 2PR estimator is uniformly superior to the other estimators

Keywords

References

  1. Friedman, D. J. and Montgomery, D. C. (1985). Evaluation of the predictive performance of biased regression estimators. Journal of Forecasting, 4, 153–163.
  2. Hoerl, A. E. and Kennard, R. W. (1970). Ridge regression: biased estimation for nonorthogonal problems. Technometrics, 12, 55–76.
  3. Lipovetsky, S. and Conklin, W. M. (2005). Ridge regression in two parameter solution. Applied Stochastic
  4. Models in Business and Industry, 21, 525–540. Lipovetsky, S. (2006). Two parameter ridge regression and its convergence to the eventual pairwise model.
  5. Mathematical and Computer Modelling, 44, 304–318. Lipovetsky, S. (2010). Enhanced ridge regressions. Mathematical and Computer Modelling, 51, 338–348.
  6. Li Y. and Yang, H. (2014). Efficiency of a stochastic restricted two-parameter estimator in linear regres- sion. Applied Mathematics and Computation, 249, 371–381.
  7. Massy, W. F. (1965). Principal components regression in exploratory statistical research. Journal of the American Statistical Association, 60, 234–256.
  8. ¨Ozbey, F. and Ka¸cıranlar, S. (2015). Evaluation of the Predictive Performance of the Liu Estimator.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

İssam Dawoud This is me

Selahattin Kaçıranlar. This is me

Publication Date

June 1, 2016

Submission Date

June 1, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 9 Number: 2

APA
Dawoud, İ., & Kaçıranlar., S. (2016). THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR. Istatistik Journal of The Turkish Statistical Association, 9(2), 56-66. https://izlik.org/JA84XA28YG
AMA
1.Dawoud İ, Kaçıranlar. S. THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR. IJTSA. 2016;9(2):56-66. https://izlik.org/JA84XA28YG
Chicago
Dawoud, İssam, and Selahattin Kaçıranlar. 2016. “THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR”. Istatistik Journal of The Turkish Statistical Association 9 (2): 56-66. https://izlik.org/JA84XA28YG.
EndNote
Dawoud İ, Kaçıranlar. S (June 1, 2016) THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR. Istatistik Journal of The Turkish Statistical Association 9 2 56–66.
IEEE
[1]İ. Dawoud and S. Kaçıranlar., “THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR”, IJTSA, vol. 9, no. 2, pp. 56–66, June 2016, [Online]. Available: https://izlik.org/JA84XA28YG
ISNAD
Dawoud, İssam - Kaçıranlar., Selahattin. “THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR”. Istatistik Journal of The Turkish Statistical Association 9/2 (June 1, 2016): 56-66. https://izlik.org/JA84XA28YG.
JAMA
1.Dawoud İ, Kaçıranlar. S. THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR. IJTSA. 2016;9:56–66.
MLA
Dawoud, İssam, and Selahattin Kaçıranlar. “THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR”. Istatistik Journal of The Turkish Statistical Association, vol. 9, no. 2, June 2016, pp. 56-66, https://izlik.org/JA84XA28YG.
Vancouver
1.İssam Dawoud, Selahattin Kaçıranlar. THE PREDICTION OF THE TWO PARAMETER RIDGE ESTIMATOR. IJTSA [Internet]. 2016 Jun. 1;9(2):56-6. Available from: https://izlik.org/JA84XA28YG