NEW EFFICIENT PREDICTIVE ESTIMATOR OF POPULATION MEAN USING MEDIAN OF STUDY VARIABLE
By
S. K. Yadav
Department of Mathematics and Statistics,
Babasaheb Bhimrao Ambedkar University, Lucknow-226025, Uttar Pradesh, India
drskystats@gmail.com
S. S. Mishra
Department of Mathematics and Statistics (A Centre of Excellence)
Dr RML Avadh University, Faizabad-224001, Uttar Pradesh, India
profsantmishra@gmail.com
Surendra Kumar
Department of Mathematics,
Government Degree College Pihani, Hardoi-241406, Uttar Pradesh, India
surendra.kumar776@gmail.com
Ravendra Kumar
Department of Mathematics,
Dr. RML Government Degree College, Aonla, Bareilly, Uttar Pradesh, India
rkpmbly@gmail.com
(Received: September 09,2017 ; Revised: April 02,2018)
Abstract
In the present paper, a new generalized predictive estimator of population mean has been proposed which makes use of information on the median of the study variable. The proposed estimator is a ratio cum product type estimator. The properties of the proposed estimator such as bias and mean squared error have been studied up to the first order of approximation. The optimal value of the characterizing scalar which makes the ratio cum product estimator better is obtained. This optimum value is responsible for the minimum value of the proposed estimator and it has also been obtained. The proposed estimator is compared with the competing estimators and the conditions for its better performance have also been given. A numerical study is also made to verify the theoretical findings. Results shows that proposed estimator is better than the competing estimators of population mean.
2010 Mathematics Subject Classification. 62D05
Keywords and phrases. Predictive estimator, Study variable, Bias, Mean squared error, Efficiency.