Improved Ratio-Cum Regression Estimator Using Two Auxiliary Variables In Single Phase Sampling

Section: Research Paper
Issue
Vol. 21 No. 2 (2024): Volume 21 Issue 2
Published
Jun 25, 2025
Pages
80-91

Abstract

Auxiliary information has been confirmed to enhance precision in the estimators of ratio, regression and product respectively. Many cases of improved mixed estimators in single phase sampling have been advanced and recommendations made using more than one auxiliary variable and correct factors for extreme values. This study takes a look at case of extreme value in both study and auxiliary variable where the proposed mixed estimator is not corrected for extreme values in both study and auxiliary variable. However, it is interesting to know that the developed mixed estimator is efficient over developed single estimators of ratio and regression with correction factors for extreme value.

References

  1. Al-Hossain, M. Khan - Efficiency of ratio, product and regression estimators under maximum and minimum values using two auxiliary variables, Journal of Applied Mathematics, Article ID 693782(10), 2014.
  2. E. Sarndal - Sample survey theory vs general statistical theory: estimation of the population mean. International Statistical Institute, 40:112, 1972.
  3. I. Ogunyinka, F. O. Emmanuel, A. A. Sodipo - General Class of ratio-cum-product estimators in two- phase sampling using multi- auxiliary variables. Anale.Seria Informatica, XVII fasc, 2, 2019.
  4. Kadilar, H. Cingi - A new estimator using two auxiliary variables. Applied Mathematics and Computation, 162 (2): 901908, 2005.
  5. Khan, J. Shabbir - Some improved ratio, product and regression estimators of finite population mean when using minimum and maximum values. The Scientific World Journal, 013: Article ID 431868, 7, 2013.
  6. Mohanty - Contribution to the theory of sampling human populations. J. Amer. Statist. Assoc., 5, 16-19, 1967.
  7. Shah, D. Shah - Ratio cum product Estimators for estimating ratio(product) of two population. Sankhya, 40, 165- 166, 1967.
  8. Singh - On the estimation of ratio and product of population parameters. Sankhya, Ser. C, 27, 321-328, 1967.
  9. Singh - Ratio cum product method of estimation. Metrika, 12(1), 34-43, 1967.
  10. Taylor, B. A. Sharma - Modified ratio-cum-product estimator of finite population mean using the coefficient of variation and the coefficient of kurtosis. Statistics in Transition-New Series Series, 10(1), 15-24, 2009.

Authors

Peter N. Madu

Olabisi Onabanjo University, Ago-Iwoye, Department of Mathematical Sciences , Nigeria

ORCID
Timothy O. Olatayo

1 Olabisi Onabanjo University, Ago-Iwoye, Department of Mathematical Sciences , Nigeria

ORCID
Peter I. Ogunyinka

Olabisi Onabanjo University, Ago-Iwoye, Nigeria, Department of Mathematical Sciences.

Emmanuel A. Ayanlowo

Babcock University, Ilisan-Remo, Ogun State. Nigeria. Department of Basic Sciences

Akinwumi, S. Odeyemi

University of Fort Hare Alice, Eastern Cape, South Africa. Department of Statistics.

Identifiers

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How to Cite

N. Madu, P., O. Olatayo, T., I. Ogunyinka, P., A. Ayanlowo, E., & S. Odeyemi, A. (2025). Improved Ratio-Cum Regression Estimator Using Two Auxiliary Variables In Single Phase Sampling. IRAQI JOURNAL OF STATISTICAL SCIENCES, 21(2), 80–91. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/21006