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An Improved Estimator of Population Variance using known Coefficient of Variation |
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PP: 11-16 |
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doi:10.18576/jsapl/040102
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Author(s) |
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Sheela Misra,
Dipika Kumari,
Dharmendra Kumar Yadav,
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Abstract |
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| In the present article, an improved estimator (s2 yk) over usual unbiased estimator of population variance (s2 y) is proposed by using known coefficient of variation (Cy) of the study variable y. Asymptotic expression for its bias and mean square error (MSE) have been obtained. For more practical utility the study of proposed under estimated optimum value of k has also been carried out. A comparative study has been made among the proposed estimator and the conventional estimator. Numerical illustration is also given in support of the present study. |
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