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Measuring Performance of Ratio-Exponential-Log Type General Class of Estimators Using Two Auxiliary Variables

Author

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  • Javid Shabbir
  • Shakeel Ahmed
  • Aamir Sanaullah
  • Ronald Onyango

Abstract

In this paper, a ratio-exponential-log type general class of estimators is proposed in estimating the finite population mean using two auxiliary variables when population parameters of the auxiliary variables are known. From the proposed estimator, some special estimators are identified as members of the proposed general class of estimators. The mean square error (MSE) expressions are obtained up to the first order of approximation. This study finds that the proposed general class of estimators outperforms as compared to the conventional mean estimator, usual ratio estimators, exponential-ratio estimators, log-ratio type estimators, and many other competitor regression type estimators. Four real-life applications are used for efficiency comparison.

Suggested Citation

  • Javid Shabbir & Shakeel Ahmed & Aamir Sanaullah & Ronald Onyango, 2021. "Measuring Performance of Ratio-Exponential-Log Type General Class of Estimators Using Two Auxiliary Variables," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:5245621
    DOI: 10.1155/2021/5245621
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    Cited by:

    1. Shashi Bhushan & Anoop Kumar & Amer Ibrahim Al-Omari & Ghadah A. Alomani, 2023. "Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators," Mathematics, MDPI, vol. 11(9), pages 1-14, April.

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