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Estimation of finite population mean in simple and stratified random sampling using two auxiliary variables

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  • Javid Shabbir
  • Sat Gupta

Abstract

We propose an improved difference-cum-exponential ratio type estimator for estimating the finite population mean in simple and stratified random sampling using two auxiliary variables. We obtain properties of the estimators up to first order of approximation. The proposed class of estimators is found to be more efficient than the usual sample mean estimator, ratio estimator, exponential ratio type estimator, usual two difference type estimators, Rao (1991) estimator, Gupta and Shabbir (2008) estimator, and Grover and Kaur (2011) estimator. We use six real data sets in simple random sampling and two in stratified sampling for numerical comparisons.

Suggested Citation

  • Javid Shabbir & Sat Gupta, 2017. "Estimation of finite population mean in simple and stratified random sampling using two auxiliary variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 10135-10148, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:20:p:10135-10148
    DOI: 10.1080/03610926.2016.1231822
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    Cited by:

    1. Ayesha Khalid & Aamir Sanaullah & Mohammed M. A. Almazah & Fuad S. Al-Duais, 2023. "An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    2. Jed J. Cohen & Johannes Reichl, 2022. "Comparing Internet and phone survey mode effects across countries and research contexts," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 66(1), pages 44-71, January.

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