A. Mohammed, M., N. Salman, A. (2011). On Modified Pre-Test Double Stage Shrunken Estimators for Estimate the Parameters of Simple Linear Regression Model. , 24(1), 212-233.
M. A. Mohammed; A. N. Salman. "On Modified Pre-Test Double Stage Shrunken Estimators for Estimate the Parameters of Simple Linear Regression Model". , 24, 1, 2011, 212-233.
A. Mohammed, M., N. Salman, A. (2011). 'On Modified Pre-Test Double Stage Shrunken Estimators for Estimate the Parameters of Simple Linear Regression Model', , 24(1), pp. 212-233.
A. Mohammed, M., N. Salman, A. On Modified Pre-Test Double Stage Shrunken Estimators for Estimate the Parameters of Simple Linear Regression Model. , 2011; 24(1): 212-233.

On Modified Pre-Test Double Stage Shrunken Estimators for Estimate the Parameters of Simple Linear Regression Model

Ibn Al-Haitham Journal For Pure And Applied Science
Article 1, Volume 24, Issue 1, 2011, Pages 212-233
Authors
M. A. Mohammed; A. N. Salman
Abstract
In this paper, we proposed modified preliminary test double stage Shrunken estimator to estimate the parameters of simple linear regression model, using shrinkage weight function (), in first stage and proposed modify technique in second stage. The expression for bias, mean squared error, relative efficiency, expected sample size, probability for avoiding the second sample are derived for considered estimators. Numerical results and conclusions concern bias ratio [B()] and relative efficiency [R.Eff()] are reported for different constants involved in the expressions mentioned above.Key words: Estimation, Parameters, Shrinkage, Prior information, Double stage estimator, Linear Regression
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