Comparison of some common ratio estimators using pitman measure of nearness |
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Authors: | Carl MS Lee Shyamal Das Peddada |
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Institution: | 1. Department of Mathematics , Central Michigan University , Mt. Pleasant, Michigan, 48859;2. Department of Math. &3. Statistics , University of Nebraska , Lincoln, Nebraska, 68500 |
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Abstract: | In this article we compare some common ratio estimators for estimating the population total of a given characteristic. The sampling schemes considered are simple random sampling (S.R.S.) and S.R.S.under stratification. The comparisons are made using the Pitman Nearness criterion under the model-based approach. The error term is assumed normal with mean zero and variance σg(x). The function g(x) is a known function of the auxiliary variable x. Special interest is on the cases of g(x) =l and x. The result is found the same as that using MSE criterion, although the PN is very different from the MSE intrinsically. |
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Keywords: | ratio estimator regression estimator Pitman Nearness quadratic loss |
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