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1715360PublishedVol 9 · Issue 9

A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling

Faweya, Olanrewaju Abifade, Victor Oluwatobi Akinyemi, Oluwadare Ayodele, Oluwasola Joshua Oyinloye, Adedeji Adigun

Subject area: Science,Engineering and Technology  ·  Area of research: Sample survey

DOI: https://doi.org/10.64388/IREV9I9-1715360

Abstract

In this study, a new exponential ratio-type estimator for estimating the population mean using two auxiliary variables in double sampling is proposed. The bias and mean squared error (MSE) of the proposed estimator are derived. The efficiency of the proposed estimator is compared theoretically with some existing estimators such as the usual sample mean estimator, the classical ratio estimator, and other exponential estimators. An empirical study using real-life data is conducted to examine the performance of the estimator. The results indicate that the proposed estimator has the smallest mean square error and the highest relative efficiency among the estimators considered. Hence, the estimator is recommended for practical applications in survey sampling where auxiliary information is available.

Keywords

Double Sampling, Auxiliary Variable, Exponential Estimator, Ratio Estimator, Mean Square Error.

How to cite this paper

Faweya, Olanrewaju, Abifade, Victor Oluwatobi, Akinyemi, Oluwadare, Ayodele, Oluwasola Joshua, Oyinloye, Adedeji Adigun "A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling" Iconic Research And Engineering Journals Volume 9 Issue 9 2026 Page 1795-1799 https://doi.org/10.64388/IREV9I9-1715360
Faweya, Olanrewaju, Abifade, Victor Oluwatobi, Akinyemi, Oluwadare, Ayodele, Oluwasola Joshua, Oyinloye, Adedeji Adigun "A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling" Iconic Research And Engineering Journals, vol. 9, no. 9, Mar. 2026, doi: https://doi.org/10.64388/IREV9I9-1715360
Faweya, Olanrewaju, Abifade, Victor Oluwatobi, Akinyemi, Oluwadare, Ayodele, Oluwasola Joshua, Oyinloye, Adedeji Adigun (2026). A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling. Iconic Research And Engineering Journals, 9(9). doi: https://doi.org/10.64388/IREV9I9-1715360
Faweya, Olanrewaju, Abifade, Victor Oluwatobi, Akinyemi, Oluwadare, Ayodele, Oluwasola Joshua, Oyinloye, Adedeji Adigun "A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling" Iconic Research And Engineering Journals, vol. 9, no. 9, Mar. 2026. Crossref, https://doi.org/10.64388/IREV9I9-1715360
@article{1715360,
      author = {Faweya, Olanrewaju, Abifade, Victor Oluwatobi, Akinyemi, Oluwadare, Ayodele, Oluwasola Joshua, Oyinloye, Adedeji Adigun},
      title = {A New Exponential Ratio-Type Estimator for Population Mean Using Two Auxiliary Variables in Double Sampling},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {9},
      number = {9},
      pages = {1795-1799},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1715360.pdf},
      abstract = {In this study, a new exponential ratio-type estimator for estimating the population mean using two auxiliary variables in double sampling is proposed. The bias and mean squared error (MSE) of the proposed estimator are derived. The efficiency of the proposed estimator is compared theoretically with some existing estimators such as the usual sample mean estimator, the classical ratio estimator, and other exponential estimators. An empirical study using real-life data is conducted to examine the performance of the estimator. The results indicate that the proposed estimator has the smallest mean square error and the highest relative efficiency among the estimators considered. Hence, the estimator is recommended for practical applications in survey sampling where auxiliary information is available.},
      keywords = {Double Sampling, Auxiliary Variable, Exponential Estimator, Ratio Estimator, Mean Square Error.},
      month = {March},
      doi = {https://doi.org/10.64388/IREV9I9-1715360}
  }