- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Pre-Test Single and Double Stage Shrunken Estimators for the Mean of Normal Distribution with Known Variance | ||
| Baghdad Science Journal | ||
| Article 1, Volume 7, Issue 4, 2010, Pages 1432-1441 | ||
| Author | ||
| Abbas Najim Salman | ||
| Abstract | ||
| This paper is concerned with pre-test single and double stage shrunken estimators for the mean () of normal distribution when a prior estimate (0) of the actule value () is available, using specifying shrinkage weight factors () as well as pre-test region (R). Expressions for the Bias [B()], mean squared error [MSE()], Efficiency [EFF()] and Expected sample size [E(n/)] of proposed estimators are derived. Numerical results and conclusions are drawn about selection different constants included in these expressions. Comparisons between suggested estimators, with respect to classical estimators in the sense of Bias and Relative Efficiency, are given. Furthermore, comparisons with the earlier existing works are drawn. | ||
| Keywords | ||
| Shrinkage estimator; Single; stage shrinkage estimator; double; Mean square error; expected sample size; efficiency | ||
|
Statistics Article View: 188 PDF Download: 98 |
||