Dual to Ratio-Cum-Product Estimator in Simple and Stratified Random Sampling

Yunusa Olufadi

Abstract


New estimators for estimating the finite population mean using two auxiliary variables under simple and stratified sampling design is proposed. Their properties (e.g., mean square error) are studied to the first order of approximation. More so, some estimators are shown to be a particular member of this estimator. Furthermore, comparison of the proposed estimator with the usual unbiased estimator and other estimators considered in this paper reveals interesting results. These results are further supported with an empirical study using four natural data from literature.


Keywords


auxiliary variable; mean square error; ratio-cum-product estimator; simple random sampling; stratified sampling

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DOI: http://dx.doi.org/10.18187/pjsor.v9i3.577

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Title

Dual to Ratio-Cum-Product Estimator in Simple and Stratified Random Sampling

Keywords

auxiliary variable; mean square error; ratio-cum-product estimator; simple random sampling; stratified sampling

Description

New estimators for estimating the finite population mean using two auxiliary variables under simple and stratified sampling design is proposed. Their properties (e.g., mean square error) are studied to the first order of approximation. More so, some estimators are shown to be a particular member of this estimator. Furthermore, comparison of the proposed estimator with the usual unbiased estimator and other estimators considered in this paper reveals interesting results. These results are further supported with an empirical study using four natural data from literature.


Date

2013-12-31

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 9 No. 3, 2013



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810