ON IMPROVED DOUBLE SAMPLING ESTIMATORS OF POPULATION VARIANCE USING AUXILIARY INFORMATION

Authors

  • Peeyush Misra Department of Statistics, D.A.V. (P.G.) College, Dehradun, India

Keywords:

Auxiliary Variable, Two-Phase Sampling, Taylor’s Series Expansion, Bias, Mean Square Error And Efficiency.

Abstract

A double sampling estimator and its generalized case representing a class of estimators using auxiliary information in the form of mean and variance both is proposed for the estimation of population variance. Bias and Mean Square Error are found and the properties of the estimators are studied. A comparative study with the estimators available in the literature is also carried out and it is shown that the proposed estimator and its generalized estimator are more efficient.

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References

Cochran, W.G. (1977). Sampling Techniques, 3rd edition, John Wiley and

Sons, New York.

Murthy, M. N. (1967). Sampling Theory and Methods, 1st edition, Statistical

Publishing Society, Calcutta (India).

Peeyush Misra and R. Karan Singh (2014). Estimation of population variance

using a generalized double sampling estimator, Sri Lankan Journal of Applied

Statistics, Vol. 15, No. 3, p. 211-220.

Sukhatme, P.V. and Sukhatme, B.V. (1970). Sampling theory of surveys with

applications, 3rd revised edition, IOWA State University Press, Ames, U.S.A.

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Published

2016-06-06

How to Cite

Misra, P. . (2016). ON IMPROVED DOUBLE SAMPLING ESTIMATORS OF POPULATION VARIANCE USING AUXILIARY INFORMATION. Journal of Reliability and Statistical Studies, 9(01), 93–100. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21029

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