Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 3 , pp. 374--388

ESTIMATION OF FINITE POPULATION VARIANCE UNDER UNEQUAL PROBABILITY SAMPLING

By

A. K. P. C. SWAIN and G. MISHRA, *Utkal University*

SUMMARY. An alternative estimator of the finite population variance is suggested and is compared with Liu's and Chaudhury's estimators empirically with the help of variety of natural and artificial populations. It is seen that the proposed alternative estimator appears to be more efficient for most of the populations under consideration and is also found to take negative values less frequently than the Liu's estimator.

*AMS (1991) subject classification.* 62D05.

*Key words and phrases.* Finite population variance, unequal probability sampling, Horvitz-Thompson estimator.