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Consistent Estimation of the Regression Coefficient Through Weighted Arithmetic Mean of the Inconsistent Estimators in Replicated Ultrastructural Model |
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| Authors: | Shalabh Pen-Hwang Liau |
| Affiliation: | 1. Department of Mathematics and Statistics , Indian Institute of Technology , Kanpur, India shalab@iitk.ac.in;3. Department of Mathematics , National Kaohsiung Normal University , Kaohsiung, Taiwan (R.O.C.) |
| Abstract: | The problem of consistent estimation of the slope parameter in an ultrastructural model with replicated observations is considered in this article. A consistent estimator based on a weighted arithmetic mean of two inconsistent least squares estimators is proposed which is independent of any unknown quantity. The efficiency properties of this estimator are studied. |
| Keywords: | Direct regression Inverse regression Measurement errors Non normal errors Ultrastructural model |