A Generalized Family of Ratio-Product Exponential Type Estimators Using Power Transformation

Authors

  • Apantaku, F.S Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria
  • Olayiwola, O.M Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria.
  • Ibharalu, F.T Department of Computer, Federal University of Agriculture, Abeokuta, Nigeria.
  • Alagbe, A. A Federal University of Agriculture, Abeokuta, Nigeria.
  • Ishaq, O. O Aliko Dangote University of Science and Technology, Wudil, Nigeria.
  • Olabulo, S. O Federal University of Agriculture, Abeokuta, Nigeria

DOI:

https://doi.org/10.57233/ijsgs.v9i3.534

Keywords:

Parameter, Ratio, Exponential, Estimator, Variable

Abstract

In this research study, a new population mean estimator for two auxiliary variables in stratified random sampling, based on power transformation and exponential techniques, was proposed, following the approach developed by Tailor et al. in 2015. We derived the bias and mean square error (MSE) of this proposed estimator up to the second order of approximation. The conditions in which this newly proposed estimator outperforms the existing ones were obtained. Empirical findings from the study confirm the superior efficiency of the proposed estimator compared to the existing ones.

Author Biographies

Apantaku, F.S, Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria

Department of Statistics,

Federal University of Agriculture, Abeokuta, Nigeria

Olayiwola, O.M, Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria.

Department of Statistics,

Federal University of Agriculture, Abeokuta, Nigeria.

Ibharalu, F.T, Department of Computer, Federal University of Agriculture, Abeokuta, Nigeria.

Department of Computer,

Federal University of Agriculture, Abeokuta, Nigeria.

Alagbe, A. A, Federal University of Agriculture, Abeokuta, Nigeria.

Department of Statistics,

Federal University of Agriculture, Abeokuta, Nigeria.

Ishaq, O. O, Aliko Dangote University of Science and Technology, Wudil, Nigeria.

Department of Statistics,

Aliko Dangote University of Science and Technology, Wudil, Nigeria.

Olabulo, S. O, Federal University of Agriculture, Abeokuta, Nigeria

Department of Statistics,

Federal University of Agriculture, Abeokuta, Nigeria

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Published

2023-10-30

How to Cite

Apantaku, F., Olayiwola, O., Ibharalu, F., Alagbe, . A. A., Ishaq, O. O., & Olabulo, . S. O. (2023). A Generalized Family of Ratio-Product Exponential Type Estimators Using Power Transformation. International Journal of Science for Global Sustainability, 9(3), 100–110. https://doi.org/10.57233/ijsgs.v9i3.534

Issue

Vol. 9 No. 3 (2023): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY

Section

Articles

License

Copyright (c) 2023 Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.