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Ozean Journal of Applied Sciences 4(4), 2011
2
2( K 1)
Var(
ˆ) 2KVar(
ˆ) 0
2
2
K
Var(
ˆ) KVar(
ˆ) Var(
ˆ)
2
ˆ 2
K
K Var
Var(
ˆ )
2
K ( 1)
2
2
K … (33)
2
1
2 ~
MSE( ) 2
2
Var(
ˆ) 2Var(
ˆ) 0
2
K
Is minimization
RESULTS AND RECOMMENDATION
Table (1) and (2) show the following:
~
1. The unbiased values for the one stage shrinkage estimator ( ,
~ ) increase and then start decreasing until
the real value of the parameter equals or closed to equal the initial value.
~
2. The mean square error (MSE) for the one stage shrinkage estimator ( ,
~ ) decrease until the real value of
parameter equals or closed to initial value and the mean standard error increase as a result the parameter
real value shifting away from the initial value.
~
3. The proposed real efficient (R.E) for the one stage shrinkage estimator ( ,
~ ) have a high proportion
efficiency for the mixed estimation method, and the proposed method results the lowest mean square error
and the highest relative efficiency compared with the mixed estimation method.
4. The study recommends the use of one stage shrinkage estimator in the Coob-Douglas functions for
calculating the utilization proportion of labor and the fixed capital percent in the production functions
analysis generally.
REFERENCES
Al Salihi .F.Zeanab (1992). The Equality and Inequality Constrains in the regression analysis: Applied
study for the consumption function in Iraq, Master thesis. Baghdad University.
Al-Dowiri. M. Yasean(1989). The use of Mixed Method in the Production Estimation :Applied study in the
Iraq Transformation Industry .Master thesis. Baghdad University.
Al-hasnawi, Shleabih, and Amouri H. Kathem.(2002)The Advance Economical Scaling, Donya Library.
Bagdad.
Alknani,I.Hasan,(2000). The One and Tow Stage Estimated Shrinkage for the Regression Analysis.
Doctoral Dissertation. Baghdad University.
Al-Obiedee, A. Abed Alrazaq.(2000). The Use of Estimated Shrinkage for Solving Problems in The
Heterogeneous Variance of Linear Regression. Master thesis. Baghdad University.
Mohalhil.M.Abas. (1983).The Union Economic Theory, Dar Al-Mareak, Al-Read.
Fadeal.R. Hasan(1985) .Using of Estimation Restricted Models for Expenditure Functions In Iraq.Master
thesis. Baghdad University.
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