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

Rohini Yadav (), Lakshmi N. Upadhyaya (), Housila P. Singh () and S. Chatterjee ()
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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

Statistica, 2013, vol. 73, issue 2, 221-234

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.

Keywords: study variable; auxiliary variables; chain-type ratio estimator; bias and mean squared error (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:73:y:2013:i:2:p:221-234

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