On the performance of the nearest proportional to size sampling design |
| |
Authors: | Arun Kumar Adhikary |
| |
Affiliation: | Department of Mathematics , University of Nairobi , P.O. Box 30197, Nairobi, Kenya |
| |
Abstract: | Assuming a super-population model the expected variance of the generalized difference estimator (Basu,1971) based on the nearest proportional to size sampling design introduced by Gabler(1987) is shown to be less than that of the same estimator based on an arbitrary sampling design from which the former design is realized. The former strategy is also shown to fare better than an unbiased ratio-cum-generalized difference estimator based on the nearest proportional to size sampling design in the sense of having less expected design variance under the same model. |
| |
Keywords: | Finite population Generalized difference estimator Nearest proportional to size sampling design Ratio-cum-generalized difference estimator |
|
|