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On the bias reduction in the ratio method of estimation using coefficient of variation of the auxiliary variable

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Author Affiliations

  • 1Department of Statistics, Ravenshaw University, Cuttack 753003, India
  • 2Department of Statistics, Ravenshaw University, Cuttack 753003, India
  • 3Department of Statistics, Utkal University, Bhubaneswar 751004, India

Res. J. Mathematical & Statistical Sci., Volume 13, Issue (3), Pages 20-25, September,12 (2025)

Abstract

In this paper, we focus attention on the construction of two bias reduced ratio estimators guided by a feasible and easily acceptable assumption that the coefficient of variation of the auxiliary variable is known prior to survey operation. Treating bias and mean square error as performance measures, superiority of the proposed estimators has been analyzed compared to the classical ratio and Tin’s ratio estimators under (i) a finite population set-up, (ii) an infinite population set-up assuming bivariate normal distribution between the considered variables, and (iii) the assumption of a super-population model.

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