Keywords:-
Article Content:-
Abstract
In survey sampling, the utilization of auxiliary information is very helpful in designing the estimators that can estimate the population mean with greater degree of precision. In this paper, general class of improved ratio type estimator (may be biased or unbiased) for estimation of population mean have been proposed. The relative bias and relative mean squared error of the proposed estimators have been worked out upto order O (n-1) and O (n-2) respectively. The efficiencies of the proposed estimators have been compared with the conventional ratio estimator and the estimator proposed by Sharma et al., (2010) and were found more efficient. Empirical results also showed that the proposed estimators are more efficient than the conventional ratio estimator and the estimator proposed by Sharma et al., (2010).
References:-
References
Beale, E.M.L. 1962. Some use of computers in operation research. Indutrielle Organisation, 31:27-
Bhatnagar, S. 1981. Improved estimation of population parameters with and without the use of
auxiliary information. Ph.D. Thesis submitted to University of Lucknow.
Birader, R.S. and Singh, H.P. 1995. A class of unbiased ratio estimators. Journal of Indian Society of
Agricultural Statistics, 47(3):230-239.
Chakrabarty, R.P. 1979. Some ratio type estimators. Journal of Indian Society of Agricultural
Statistics, 31(1):49-62.
Cochran, W.G. 1977. Sampling techniques. Third edition. Fourth Wiley eastern reprint.
Cochran, W.G.1940. The estimation of yield in cereal experiments by using sampling for the ratio of
grains to total produce, Journal of Agricultural Science, 30:262-275.
Hartley, H.O. and Ross, A. 1954. Unbiased ratio estimators. Nature, 174:270-271.
Kendal, S.M. and Stuart, A. 1952. The advances theory of statistics, Fourth edition, Charles Griffin
and Company Limited London and High Wycombe.
Naik, V. D. and Gupta, P.C. 1991. A general class of estimators for estimating population mean
using auxiliary information. Metrika. 38(1):11–17. 10. Pandey, B. N. and Dubey, V. 1989. On the estimation of population mean through ratio method of
estimation. The Scientific Journal, B. H. U.30:173-176.
Rao, T. J. 1966.On certain unbiased ratio estimators. Annals of the Institute of Statistical
Mathematics, 18:117-121.
Sahoo, L. N. and Swain, A. K. P.C. 1989. On two modified ratio estimators in two phase sampling.
Metron, 47(1-4):261-266.
Sharma, M., Bhatnagar, S. and Khan, I. 2010. A general class of improved ratio type estimators
through auxiliary information. International Journal of Agricultural Statistical Science, 6(1):115-
Singh, D. and Chaudhary, F.S. 1995. Theory and analysis of sample survey designs, New Age
International Publishers, New Delhi.
Singh, R. and Narain, P. 1989. Method of estimation from samples with random sample size. Journal
of Statistical Planning and Inference, 23(2):217-225.
Sukhamate, P.V. and Sukhmate, B.V.1970. Sampling theory of Surveys with Application. Asia
Publishing House.
Sukhmate, B.V. 1954. Sampling theory of surveys with applications. First educational Indian society
of agricultural statistics India and Iowa state university press, USA. 18. Tin, M. 1965. Comparison of some ratio estimators. Journal of American statistics association, 60:
-207.