Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series B, Pt. 2, 141--155

ESTIMATION OF A FINITE POPULATION TOTAL UNDER REGRESSION MODELS: A REVIEW

By

P. MUKHOPADHYAY, Indian Statistical Institute 

SUMMARY. Estimation of a finite population total under prediction approach using regression superpopulation models has engaged the attention of survey statisticians over more than the last two decades. Some of these model-dependent and model-based investigations have been reviewed in this article. It has also been shown that a sampling design-based conventional strategy fares better than some optimal model-dependent procedures on an average from the point of view of robustness..

AMS (1990) subject classification. 62D05

Key words and phrases. Polynomial (multiple) regression model, BLU-predictor, purposive(balanced) sampling design, asymptotic design unbiasedness ( consistency), asymptotic mean square error.

FULL PAPER.

This article in Mathematical Reviews.