A note on the estimation of variance of sample mean Using the knowledge of coefficient of variation in normal population |
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| Authors: | Housila P Singh |
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| Institution: | Department of Mathematics and Statistics , College of Agricultural Engineering Jawaharlal Nehru Krishi Vishwa Vidyalaya , Jabalpur, M.P, 482 004, India |
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| Abstract: | A class of estimators for the variance of sample mean is defined and its properties are studied in case of normal population. It is identified that the usual unbiased estimator, Singh, Pandey and Hirano (1973) -type estimator and Lee (1931) estimator are particular members of the proposed class of estimators. It is found that the minimum Mean Squared Error (MSE) of the proposed class of estimators is less than that of other estimators. |
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| Keywords: | variance of sample mean class of estimators minimum mean squared error |
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