AN IMPROVEMENT OVER DIFFERENCE METHOD OF ESTIMATION OF POPULATION MEAN
Keywords:
Study variable, Auxiliary variable, Mean square error, Bias, Simple random sampling.Abstract
This paper suggests the difference method of estimation of the population mean of the study variable using information on an auxiliary variable with its properties. The optimum estimator in the suggested method has been identified alongwith its mean square error formula. It has been identified that the suggested method is more general and efficient than other existing methods. An empirical study is carried out to judge the merits of proposed method over other traditional methods by using three natural population data sets.
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References
Bedi, P.K. and Hajela, D. (1984). An estimator for population mean utilizing
known coefficient of variation, J. Statist. Res., 18, p. 29-38.
Cochran, W.G. (1940). The estimation of the yields of cereal experiments by
sampling for the ratio of grain to total produce, J. Agri. Soc., 30, p. 262-275.
Cochran, W.G. (1977). Sampling Techniques. 3rd ed., John Wiley and Sons, New
York, USA.
Das, A.K. (1988). Contribution to the theory of sampling strategies based on
auxiliary information, Ph.D. thesis submitted to B.C.K.V., Mohanpur, Nadia, West
Bengal, India.
Dubey, V. and Singh, S.K. (2001). An improved regression estimator for
estimating population mean, J. Ind. Soc. Agri. Statist., 54, p. 179-183.
Grover, L.K. and Kaur, P. (2011). An improved exponential estimator of finite
population mean in simple random sampling using an auxiliary attribute, Appl.
Math. Comp., 218(7), p. 3093-3099.
Hansen, M.N., Hurwitz, W.N. and Madow, W.G. (1953). Sample Survey Methods
and Theory, John Wiley and Sons, Now York, USA.
Jain, R.K. (1987). Properties of estimators in simple random sampling using
auxiliary variable, Metron, 45(1-2), p. 265-271.
Khoshnevisan, M., Singh, R., Chauhan, P., Sawan, N. and Smarandache, F. (2007).
A general family of estimators for estimating population mean using known value
of some population parameter(s), Far East J. Theo. Statist. 22(2), p. 181-191.
Murthy, M.N. (1964). Product method of estimation, Sankhya, 26, p. 69-74.
Rao T.J. (1991). On certain methods of improving ratio and regression estimators,
Commun. Statist. Theo. Meth., 20(10), p. 3325-3340.
Robson, D.S. (1957). Application of multivariate polykays to the theory of
unbiased ratio type estimators, J. Amer. Statist. Assoc., 52, p. 511-522.
Sanaullah, A., Khan, H., Ali, H.A. and Singh, R. (2012). Improved exponential
ratio-type estimators in survey sampling, J. Rel. Statist. Stud., 5(2), p. 119-132.
Singh, H.P. and Solanki, R.S. (2011). Generalized ratio and product methods of
estimation in survey sampling, Pak. J. Statist. Oper. Res., 7(2), p. 245-264.
Singh, S. (2003). Advanced Sampling Theory with Application How Michael
“selected” Amy. Kluwer Academic Publishers, The Netherlands.
Upadhyaya, L.N. and Singh, H.P. (1999). Use of transformed auxiliary variable in
estimating the finite population mean, Biometrical J., 41, p. 627-636.