Class of Estimators of Population Median Using New Parametric Relationship for Median
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 2
Abstract
In this paper, we have defined a class of estimators of population median using the known information of population mean (𝑋 ) of the auxiliary variable making use of new parametric relationship for population median. We have derived the asymptotic expression for the MSE of any estimator of the proposed class and also its minimum value. As minimum MSE of all the estimators of defined class are same so to choose the optimum estimator of the class for the given population w.r.t.bias also, we have considered some important sub-classes of the generalized class. The optimum biases of the considered estimators are obtained (up to terms of order 𝑛 −1 ) and compared with each other. Theoretical results are supported by an empirical study based on twelve populations to show the superiority of the suggested estimator over others.
Authors and Affiliations
M. K. Sharma, Sarbjit S. Brar, Harinder Kaur
Keywords
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