Variance Estimation Using Median of the Auxiliary Variable

By Jambulingam Subramani, G. Kumarapandiyan. 2012

70 citations recorded by the source corpus.

The present paper deals with a modified ratio type variance estimator for estimation of population variance of the study variable, when the population median of the auxiliary variable is known. The bias and the mean squared error of the proposed estimator are obtained and also derived the conditions for which the proposed estimator performs better than the traditional ratio type variance estimator suggested by Isaki[10] and the modified ratio type variance estimators suggested by Kadilar and Cingi[11]. Further we have compared the efficiencies of the proposed estimator with that of traditional ratio type variance estimator and existing modified ratio type variance estimators for certain known populations. From the numerical study it is observed that the proposed estimator performs better than the traditional ratio type variance estimator and existing modified ratio type variance estimators.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e379f9d8c7802d211a00f7e22d1c03d706b7af55

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In Statistics and Probability

1. Cem Kadılar
2. Subhash Kumar Yadav
3. Hulya Cingi
4. Housila P. Singh
5. Nursel Koyuncu
6. Javid Shabbir

Citations in the corpus

• Improved Exponential Type Ratio Estimator of Population Variance (2013, methodology): “The appropriateness of the proposed estimator has been verified with the help of the four data sets, given in Table 1 (Subramani & Kumarapandiyan 2012).”