We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SHRINKAGE PRE-TEST ESTIMATOR OF THE UNIVARIATE NORMAL MEAN.
- Authors
Yüksel, Güzin; Billor, Nedret; Ünal, Deniz
- Abstract
Estimation of the mean of a univariate normal population with unknown variance is a well-known problem in the presence of an uncertain prior information. In this study, we propose a new estimator, shrinkage pre-test estimator, which is a combination of pre-test and shrinkage estimators. The mean squared error (MSE) for the shrinkage pre-test estimator is also derived and theoretical comparisons based on MSE criterion of this new estimator with the restricted, the pre-test, and the shrinkage estimators are given. We show that the shrinkage pre-test estimator performs better than the other existing estimators. In addition, the performance of this newly proposed estimator is being assessed by conducting a simulation study.
- Subjects
ESTIMATION theory; PARAMETERS (Statistics); MATHEMATICAL statistics; ERROR functions; GEOMETRIC probabilities; PROBABILISTIC number theory
- Publication
Pakistan Journal of Statistics, 2010, Vol 26, Issue 3, p461
- ISSN
1012-9367
- Publication type
Article