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. |
Jñānābha > Volume 48 (No1-2018) >