Sankhya: The Indian Journal of Statistics

1997, Volume 59, Series B, Pt. 1, 76-83

UNIQUENESS OF THE ZINGER STRATEGY WITH ESTIMABLE VARIANCE: RANA-SINGH ESTIMATOR

By

M. RUIZ ESPEJO, Universidad Nacional de Educacion a Distancia, Madrid

 

SUMMARY. There exist that are of great interest and simple to use in practice which are unbiased for the population mean but do not allow unbiased estimation of their variances. However, by slightly modifying these strategies, unbiased estimators of their variances are obtained. Some examples of these strategies are the Zinger strategies which are a generalisation of his estimators (Zinger, 1980). For these generic unbiased strategies, there exists only one strategy that always allows unbiasedly estimable variance, excluding only trivial cases, and under very general conditions. The Rana-Singh (1989) estimator is a particular case of one unbiased variance estimator for the Zinger strategy.

AMS (1991) subject classification. 62D05

Key words and phrases. Finite population sampling, Rana-Singh variance estimator, Zinger strategies, unbiased varianced estimators, uniqueness of solution.

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