CBN Journal of Applied Statistics (JAS)

Improving the efficiency of exponential ratio-type estimator for population median: A calibration weight adjustment approach

Mathew J. Iseh, Department of Statistics, Akwa Ibom State University, Nigeria.Follow
Kufre J. Bassey, Central Bank of Nigeria

Keywords

Bias, calibration estimation, mean square error, stratified sampling

Abstract

This paper modifies the Bahl and Tuteja exponential ratio-type estimator for population median under simple random and stratified sampling schemes using calibration weight adjustment technique with supplementary information to vary the stratum weights. The bias and mean square error of the modified estimator were obtained up to the second-order approximation, which satisfies the necessary conditions for efficiency. The findings show that the new estimator surpasses existing estimators in efficiency gain. This suggests the appropriateness of calibration weight modification in boosting the efficiency of a population parameter estimator under stratified random sampling especially where the population parameter of the auxiliary variable is known and correlate with the variable of interest.

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Recommended Citation

Iseh, Mathew J. and Bassey, Kufre J. (2023) "Improving the efficiency of exponential ratio-type estimator for population median: A calibration weight adjustment approach," CBN Journal of Applied Statistics (JAS): Vol. 14: No. 1, Article 5.
Available at: https://dc.cbn.gov.ng/jas/vol14/iss1/5

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