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A chain ratio exponential type estimator in two-phase sampling using auxiliary information

Author

Listed:
  • Rohini Yadav

    (Indian School of Mines, Dhanbad - India)

  • Lakshmi N. Upadhyaya

    (Indian School of Mines, Dhanbad - India)

  • Housila P. Singh

    (Vikram University - India)

  • S. Chatterjee

    (Indian School of Mines, Dhanbad - India)

Abstract

This paper advocates the problem of estimating the population mean of the study variable y using the information on two auxiliary variables x and z. We have suggested the family of chain ratio exponential type estimators in two-phase (or double) sampling. The bias and mean squared error (MSE) are obtained upto the first order of approximation. The suggested class of estimators is more efficient than the two-phase ratio estimator, Chand’s (1975) chain-type ratio estimator and Singh and Vishwakarma’s (2007) estimator in two-phase (or double) sampling. An empirical study is given to justify the superiority of the proposed estimator.

Suggested Citation

  • Rohini Yadav & Lakshmi N. Upadhyaya & Housila P. Singh & S. Chatterjee, 2013. "A chain ratio exponential type estimator in two-phase sampling using auxiliary information," Statistica, Department of Statistics, University of Bologna, vol. 73(2), pages 221-234.
    • Handle: RePEc:bot:rivsta:v:73:y:2013:i:2:p:221-234
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