Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

12-2011

Abstract

This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first order of approximation are derived. We show that the proposed family is more efficient than usual unbiased estimator, ratio estimator, product estimator, Singh estimator (1967), Srivenkataramana (1980) and Bandyopadhyaya estimator (1980) and Singh et al. (2005) estimator. An empirical study is carried out to illustrate the performance of the constructed estimator over others.

Publication Title

STATISTICS IN TRANSITION-new series

Volume

12

Issue

3

First Page

587

Last Page

594

Language (ISO)

English

Keywords

Family of estimators, auxiliary variables, bias, mean-squared error

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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