An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response

Thanapanang Rachokarn, Nuanpan Lawson


This paper presents a new general family of estimators to estimate the population mean of study variable y in the presence of non-response when utilizing a known coefficient of variation of study variable y. The expressions for bias, mean squared error (MSE), and minimum mean squared error (MMSE) of the proposed family of estimators are derived up to the first degree of approximation. In addition, a numerical example and a simulation study are presented to explain the performance of the proposed estimators. It was shown that the proposed estimators perform better compared to all other relevant estimators.


auxiliary variables; bias; mean squared error; ratio estimator; study variables

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Hansen, M.N. & Hurwitz, W.N., The Problem of Non-Response in Sample Surveys, Journal of the American Statistical Association, 41(236), pp. 517- 529, 1946.

Searls, D.T., The Utilization of A Known Coefficient of Variation in The Estimation Procedure, Journal of the American Statistical Association, 59, pp. 1225-1226, 1964.

Das, A.K. & Tripathi, T.P., Sampling Strategies for Population Mean when The Coefficient of Variation of an Auxiliary Character is Known, Sankhya : The Indian Journal of Statistics, 42(C), pp. 76-86, 1980.

Khoshnevisan, M., Singh, R., Chauhan, P., Sawan, N. & Smarandache, F., A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s), Far East Journal of Theoretical Statistics, 22(2), pp. 181-191, 2007.

Cochran, W.G., Sampling Techniques, ed. 3,John Wiley & Sons, New York, 1977.

Khare, B.B. & Kumar, S., Transformed Two Phase Sampling Ratio and Product Type Estimators for Population Mean in The Presence of Non- Response, Aligarh Journal of Statistics, 29, pp. 91-106, 2009.

Khare, B.B. & Rehman, H.U., Improved Ratio in Regression Type Estimator for Population Mean Using Known Coefficient of Variation of the Study Character in the Presence of Non-Response, HCTL Open International Journal of Technology Innovations and Research, 14, pp. 1-7, 2015.

Khare, B.B. & Sinha, R.R., On Class of Estimators for Population Mean Using Multi-Auxiliary Character in Presence of Non-Response, Statistics in Transition-New Series, 10(1), pp. 3-14, 2009.



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