A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys

• Authors: Singh Rajesh , Kumar Mukesh , Chauhan Pankaj , Sawan Nirmala , Smarandache Florentin
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

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

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2011
• Volume: 12
• Issue: 3
• Pages: 587-594

Contributors

author

Singh Rajesh

author

Kumar Mukesh

author

Chauhan Pankaj

author

Sawan Nirmala

• School of Statistics

author

Smarandache Florentin

• University of New Mexico

References

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