Double sampling ratio-product estimator of a finite population mean in sample surveys. (English) Zbl 1119.62310
Summary: It is well known that two-phase (or double) sampling is of significant use in practice when the population parameter(s) (say, population mean \(\bar X\)) of the auxiliary variate \(x\) is not known. Keeping this in view, we have suggested a class of ratio-product estimators in two-phase sampling with its properties. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their variances. Conditions for the proposed estimator to be more efficient than the two-phase sampling ratio, product and mean per unit estimator are investigated. Comparison with single phase sampling is also discussed. An empirical study is carried out to demonstrate the efficiency of the suggested estimator over conventional estimators.
MSC:
| 62D05 | Sampling theory, sample surveys |
Keywords:
auxiliary variate; double sampling ratio and product estimators; finite population mean; study variateReferences:
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