On the performance of the nearest proportional to size sampling design

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

¹On leave from Indian Statistical Institute,Calcutta.

¹On leave from Indian Statistical Institute,Calcutta.

Notes

¹On leave from Indian Statistical Institute,Calcutta.