Efficient use of multi-auxiliary information in search of good rotation patterns in successive sampling. (English) Zbl 1364.62025
Summary: This article considers the problem of estimating the population mean on the current (second) occasion using multi-auxiliary information in successive sampling over two occasions. A general class of estimators is proposed for estimating population mean on the current occasion and expressions for bias and mean square error for these estimators are obtained up to first degree of approximation. The minimum variance bound estimator in the proposed class is discussed. Many popular estimators have been shown to belong to this class. Optimum replacement policy is also discussed. Finally, the superiority of the proposed class of estimators over multivariate version of chain type ratio estimator envisaged by G. N. Singh [“On the use of chain type ratio estimator in successive sampling”, Stat. Transition 7, No. 1, 21–26 (2005)] is established empirically.
MSC:
| 62D05 | Sampling theory, sample surveys |
Keywords:
successive sampling; general class of estimators; minimum variance bound estimator; optimum replacement policy; bias; mean square error; multi-auxiliary variablesReferences:
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