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A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables

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  • Jingli Lu
  • Zaizai Yan
  • Xiuyun Peng

Abstract

In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples.

Suggested Citation

  • Jingli Lu & Zaizai Yan & Xiuyun Peng, 2014. "A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-10, December.
    • Handle: RePEc:plo:pone00:0116124
    DOI: 10.1371/journal.pone.0116124
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    References listed on IDEAS

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    1. Jingli Lu, 2013. "The Chain Ratio Estimator and Regression Estimator with Linear Combination of Two Auxiliary Variables," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-4, November.
    2. Jingli Lu & Zaizai Yan, 2014. "A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-6, February.
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