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A general family of dual to ratio-cum-product estimator in sample surveys

Author

Listed:
  • Nirmala Sawan
  • Rajesh Singh
  • Manoj Kumar
  • Pankaj Chauhan
  • Florentin Smarandache

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.

Suggested Citation

  • Nirmala Sawan & Rajesh Singh & Manoj Kumar & Pankaj Chauhan & Florentin Smarandache, 2011. "A general family of dual to ratio-cum-product estimator in sample surveys," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(3), pages 587-594, December.
    • Handle: RePEc:csb:stintr:v:12:y:2011:i:3:p:587-594
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    References listed on IDEAS

    as
    1. Manoj Kumar & Shashi Bahl, 2006. "Class of dual to ratio estimators for double sampling," Statistical Papers, Springer, vol. 47(2), pages 319-326, March.
    2. M. Singh, 1967. "Ratio cum product method of estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 12(1), pages 34-42, December.
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