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Efficient Estimators of Population Variance Using Known Population Mode & Variance of Auxiliary Variable

Journal: International Journal of Scientific Engineering and Research (IJSER) (Vol.4, No. 10)

Publication Date:

Authors : ; ;

Page : 108-116

Keywords : Correlation coefficient; Coefficient of kurtosis; Coefficient of skewness; Population variance; Population mode; Product-type estimator; Ratio-type estimator; Regularity conditions; Taylor series;

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In this paper, using known information of population mode (M_x) along with population variance (S_x^2) of the auxiliary variable x, we have proposed the ratio-type and product-type estimators of population variance (S_y^2) of the main variable y. Also we have proposed the class of estimators of S_y^2 whose proposed estimators are the members. Up to terms of order n^(-1), expressions for biases, MSEs and minimum MSEs are obtained and compared with each other. Theoretical results are supported by the empirical study by taking five populations from the literature.

Last modified: 2021-07-08 15:43:18