A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys
A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys
Author(s): Rajesh Singh, Mukesh Kumar, Pankaj Chauhan, Nirmala Sawan, Florentin SmarandacheSubject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: Family of estimators;auxiliary variables;bias;mean-squared error
Summary/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.
Journal: Statistics in Transition. New Series
- Issue Year: 12/2011
- Issue No: 3
- Page Range: 587-594
- Page Count: 8
- Language: English