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Modified Regression-Cum-Dual to Ratio-Cum-Product Estimator under Double Sampling

Author Affiliations

  • 1Department of Statistics, Kano University of Science and Technology, Wudil, Nigeria
  • 2Department of Mathematics, Usmanu Danfodiyo University, P.M.B. 2346, Sokoto, Nigeria
  • 3State College of Basic and Remedial Studies, Sokoto, Nigeria

Res. J. Mathematical & Statistical Sci., Volume 8, Issue (2), Pages 1-4, May,12 (2020)

Abstract

Two estimators t*R1 and t*R2 for estimating finite population mean in double sampling are suggested. The existing estimator utilizes information on X and Z which can lead it to either over-estimation or under-estimation when they are weakly correlated with the study variable Y , that is, ρyx→0 and ρyz→0. To overcome the problem of over-estimation or under-estimation in existing estimator, sample means of the study variable of the estimator was transformed using linear regression technique leading two new estimators. The properties (Bias and MSE) of the suggested estimators were derived using Tailor’s series expansion. The empirical study conducted revealed that the new estimators out-performed other related existing estimators considered in the study.

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