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

Authors

  • Rohini Yadav Indian School of Mines, Dhanbad
  • Lakshmi N. Upadhyaya Indian School of Mines, Dhanbad
  • Housila P. Singh Vikram University, Ujjain
  • S. Chatterjee Indian School of Mines, Dhanbad

DOI:

https://doi.org/10.6092/issn.1973-2201/4133

Keywords:

study variable, auxiliary variables, chain-type ratio estimator, bias and mean squared error

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.

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Published

2013-03-30

How to Cite

Yadav, R., Upadhyaya, L. N., Singh, H. P., & Chatterjee, S. (2013). A chain ratio exponential type estimator in two-phase sampling using auxiliary information. Statistica, 73(2), 221–234. https://doi.org/10.6092/issn.1973-2201/4133

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