Upgraded family of estimators of population mean using known parameters of auxiliary and study variables Online publication date: Thu, 29-Jul-2021
by S.K. Yadav; Dinesh K. Sharma; Shanya Baghel
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 11, No. 3, 2021
Abstract: This paper proposes an elevated family of estimators for the population mean of a primary variable using the known auxiliary information combined with the known median of the study variable under the simple random sampling scheme. Various existing estimators of population mean are the members of the proposed class. The bias and MSE of the proposed class are derived up to the first order of approximation. The minimum values of bias and MSE are obtained by optimising the characterising scalar. The bias and MSE of the suggested family have also been compared with that of existing estimators. Finally, we have suggested some new members of the proposed class, which are more efficient than the existing ones both theoretically and numerically. The empirical study has been done using R software for computing biases and the MSEs of the suggested and the competing estimators under the said sampling scheme.
Online publication date: Thu, 29-Jul-2021
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email email@example.com