Abstract
This paper proposes an improved general family of ratio-type estimators using the coefficient of skewness of an auxiliary variable for estimating finite population mean under simple random sampling. Bias, mean squared error (MSE) and minimum MSE of the proposed family are derived up to the first degree of approximation. It is found that proposed family behaves better than competing estimators under some simple conditions. Theoretical findings are confirmed with numerical illustration using three natural populations. In addition, Monte Carlo simulation study on a real data set also proves the potential of the proposed family against the common unbiased estimator, traditional ratio estimator and estimators by Yan and Tian (CCIS 106:103–110, 2010).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Iranian Journal of Science and Technology, Transactions A: Science
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
