International Science Community Association Research Journal of Mathematical and Statestical Sciences 13 3 2025 09 12 On the bias reduction in the ratio method of estimation using coefficient of variation of the auxiliary variable 20 25 EN Dorugade A. V. 1 Y.C. Mahavidyalaya, Halkarni, Tal- Chandgad, Kolhapur, MS - 416552, India Sharma H.L. 1 Department of Mathematics & Statistics, J.N. Agricultural University, Jabalpur, MP, India Shukla Vijayshankar 2 Computer Science and Engineering, Government Autonomous College, Satna, MP, India Shukla Varsha 3 Comptroller Office, J.N. Agricultural University, Jabalpur, MP, India Panigrahi Archana 1 Department of Statistics, Ravenshaw University, Cuttack 753003, India Ojha Amiya 2 Department of Statistics, Ravenshaw University, Cuttack 753003, India Sahoo L.N. 3 Department of Statistics, Utkal University, Bhubaneswar 751004, India > Research Article 2025 5 25 2025 09 12 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. Copyright@ International Science Community Association