Alternative Ratio-Product Type Estimator in Simple Random Sampling


  • Yahaya Zakari Ahmadu Bello University, Zaria, Nigeria
  • Isah Muhammad Binyaminu Usman Polytechnic, Hadejia, Nigeria.
  • Najmuddeen Muhammad Sani Ahmadu Bello University, Zaria, Nigeria


Ratio estimator, product estimator, bias, mean square error, efficiency, auxiliary variables, single-phase sampling


Communication in Physical Sciences 2020, 5(4): 418-426

Received 05 March 2020/Accepted 15 June 2020

In this paper, we proposed a new alternative ratio-product estimator in simple random sampling without replacement by using information on an auxiliary variable. The proposed estimator is a mixture of some of the commonly known estimators. We have derived the minimum mean square errors up to the first order of approximation. Theoretically, we compare the mean square error (MSE) equation of the proposed estimator with the mean square error (MSE) equations of the existing estimators in literature. Numerical examples with four real data sets shows that the proposed estimator is more efficient than the existing other estimators considered. Therefore, the findings of this research are important in identifying alternative ratio-product exponential estimator, its properties, as well as relevant empirical applications.



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Author Biographies

Yahaya Zakari, Ahmadu Bello University, Zaria, Nigeria

Department of Statistics

Isah Muhammad, Binyaminu Usman Polytechnic, Hadejia, Nigeria.

Department of Statistics

Najmuddeen Muhammad Sani, Ahmadu Bello University, Zaria, Nigeria

Department of Statistics,


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