Using two-phase sampling scheme, a general class of estimators for ratio and product of two finite population means is proposed. This class depends on the sample means and variances of two auxiliary variables. The minimum variance bound for any estimator in the class is provided (up to terms of order η-1). It is shown that there exists at least a chain regression type estimator which reaches this minimum. A numerical illustration is also given.
Estimation for ratio of two population means in double sampling.
2002
Abstract
Using two-phase sampling scheme, a general class of estimators for ratio and product of two finite population means is proposed. This class depends on the sample means and variances of two auxiliary variables. The minimum variance bound for any estimator in the class is provided (up to terms of order η-1). It is shown that there exists at least a chain regression type estimator which reaches this minimum. A numerical illustration is also given.File in questo prodotto:
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