Recovering Jackknife Ridge Regression Estimates from OLS Results | ||
| Journal of University of Anbar for Pure Science | ||
| Article 51, Volume 7, Issue 2, August 2013, Pages 191-198 PDF (479.84 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2013.85011 | ||
| Author | ||
| Feras Sh. Mahmood* | ||
| University Of Anbar - College of Education for Pure Science | ||
| Abstract | ||
| The aim of this paper is addressing or recalculate the estimation methods in multiple linear regression model when there is a problem of Multicollinearity in this model like the ridge regression for Hoerl and Kannard, Baldwin estimator (HKB) and Jackknifed ridge regression estimator (JRR) using least-squares estimators which the last are the best unbiased estimators, consistent and linear. In this paper we proposed a formula to calculate the above estimators easily depending on the least-squares estimator, this treatment as a mathematical formula faster than the HKB estimator that depend on reducing the variance and JRR estimator that depend on reducing the bias. We used numerical examples of the pricing method in comprehensive quality and environmental quality as air pollution in places as pricing environment. After the comparison JRR and HKB estimates are superior to the OLS estimates under the mean squared error (MSE) criterion. 2000 Mathematics Subject Classification: Primary 62J07. | ||
| Keywords | ||
| Multicollinearity; Jackknife Ridge Estimators; Hedonic Method | ||
| References | ||
|
[1] Batah, F. ,Gore, S. and Verma, M. (2008). Effect of jackknifing on various ridge type estimators. Model Assisted Statistics and Applications 3: 111-121.
[2] Dwivedi, T. D., V. K. Srivastava, and R. L. Hall, 1980, Finite sample properties of ridge estimators, Technometrics 22(2), 205-212.
[3] Firinguetti, L., 1987, Exact moments of Lawless and Wang's operational ridge regression estimator, Communications in Statistics A16, 731-745.
[4] Gruber, M.H.J. (1991), The efficiency of jackknife and usual ridge type estimators: A comparison, Statistics & Probability Letters 11, 49 – 51. | ||
|
Statistics Article View: 176 PDF Download: 108 |
||