Improved Linear Combination of Two Estimators for a Function of Interested Parameter
In this paper, we consider the problem of improving the efficiency of a linear combination of two estimators when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of are interested parameter. We show that two estimators obtain...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
2016-07-01
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| Series: | Revista Colombiana de Estadística |
| Subjects: | |
| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000200005&lng=en&tlng=en |
| Summary: | In this paper, we consider the problem of improving the efficiency of a linear combination of two estimators when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of are interested parameter. We show that two estimators obtained from a improved linear combination of two estimators and a linear combination of two improved estimators are equivalent in terms of efficiency. We also show how a doubly-improved linear combination of two estimators can be constructed when the population coefficient of variation is known. |
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| ISSN: | 0120-1751 |