Almost unbiased estimation procedures of population mean in two-occasion successive sampling

Yıl 2018, Cilt: 47 Sayı: 5, 1268 - 1280, 16.10.2018

G. N. Singh , A. K. Singh Cem Kadılar

Öz

The objective of this paper is to construct some unbiased estimators of the current population mean in two-occasion successive sampling. Utilizing the readily available information on an auxiliary variable on both occasions, almost unbiased ratio and regression cum exponential type estimators of current population mean have been proposed. Theoretical properties of the proposed estimation procedures have been examined and their respective optimum replacement strategies are formulated. Performances of the proposed estimators are empirically compared with (i) the sample mean estimator, when no sample units were matched from the previous occasion and (ii) natural successive sampling estimator when no auxiliary information was used on any occasion. Empirical results are critically interpreted and suitable recommendations are made to the survey practitioners for their practical applications.

Anahtar Kelimeler

Successive sampling, Auxiliary information, Bias, Optimum replacement strategy, Mean square error, Optimum replacement strategy

Kaynakça

• Biradar, R. S. and Singh, H. P. Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin, 51, 243-251, 2001.
• Chaturvedi, D. K. and Tripathi, T. P. Estimation of population ratio on two occasions using multivariate auxiliary information. Journal of Indian Statistical Association, 21,113- 120, 1983.
• Cochran, W. G. Sampling Techniques, Wiley Eastern Limited, New Delhi, III Edition, 1977.
• Das, A. K. Estimation of population ratio on two occasions.Journal Indian Society Agricul- tures Statistics, 34, 1-9, 1982
• Feng, S. and Zou, G. Sample rotation method with auxiliary variable. Communications in Statistics-Theory and Methods, 26, 6, 1497-1509, 1997.
• Gupta, P. C. Sampling on two successive occasions. Journal Statistical Research,13, 7-16, 1979.
• Jessen, R.J. Statistical Investigation of a Sample Survey for obtaining farm facts. Iowa Agricultural Experiment Station Research Bulletin No. 304, Ames, Iowa, U. S. A., 1-104, 1942.
• Patterson, H. D. Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society,12, 241-255, 1950.
• Rao, J. N. K. and Graham, J. E. Rotation design for sampling on repeated occasions. Journal of the American Statististical Association, 59, 492-509, 1964.
• Reddy, V. N. (1978): A study on the use of prior knowledge on certain population parameters in the estimation. Sankhya, Series C, 40, 29-37, 1978.
• Sen, A. R. Successive sampling with two auxiliary variables. Sankhya, 33, Series B,371-378, 1971.
• Sen, A. R. Successive sampling with $p(p\geq 1)$ auxiliary variables. The Annals Mathematical Statististics, 43, 2031-2034, 1972.
• Sen, A. R. Theory and application of sampling on repeated occasions with several auxiliary variables. Biometrics 29, 381-385, 1973.
• Singh, V. K., Singh, G. N. and Shukla, D. (1991): An efficient family of ratio-cum-difference type estimators in successive sampling over two occasions. Journal of Scientific Research 41 C,149-159, 1991.
• Singh, G. N. On the use of chain-type ratio estimator in successive sampling. Statistics in Transition, 7(1), 21-26, 2005.
• Singh, G. N. and Singh, V. K. On the use of auxiliary information in successive sampling. Journal Indian Society Agricultures Statistics, 54(1), 1-12, 2001.
• Singh, G. N. and Homa, F. Effective rotation patterns in successive sampling over two occasions. Journal of Statistical Theory and Practice, 7(1), 146-155, 2013.
• Singh, G. N. and Karna, J. P. Estimation of population mean on current occasions in two- occasion successive sampling. Metron, 67(1), 69-85, 2009.
• Singh, G. N. and Prasad, S. (2013): Best linear unbiased estimators of population mean on current occasion in two-occasion successive sampling. Statistics in Transition-New Series, 14(1), 57-74, 2013.
• Singh, G.N. and Priyanka, K. On the use of auxiliary variables to improve the precision of estimates at current occasion. Journal Indian Society of Agricultures Statistics, 62(3), 253- 265, 2008.
• Singh, G.N. and Priyanka, K. Estimation of population mean at current occasion in presence of several varying auxiliary variates in two-occasion successive sampling. Statistics in Transition- new series, 11(1), 105-126, 2010.
• Singh,H.P., Chandra,P., Joarder, A. H. and Singh, S. Family of estimators of mean, ratio and product of a finite population using random non-response. Test,16, 565-597, 2007.
• Singh, H. P. and S. K. Pal On the estimation of population mean in current occasion in two- occasion rotation patterns. Journal of Statistics Application and Probability, 4(2), 305-313, 2015.
• Singh, H. P. and S. K. Pal An efficient effective rotation pattern in successive sampling over two occasions. Communications in Statistics-Theory and Methods, 45(17), 5017-5027, 2016.
• Singh, H. P. And Vishwakarma, G. K. A general procedure for estimating population mean in successive sampling. Communications in Statistics-Theory and Methods, 38(2), 293-308, 2009.
• Srivastava, M. K. and Srivastava, N. Chain type ratio estimator in successive sampling using multiple-auxiliary information. Communications in Statistics-Theory and Methods, 45(16), 4798-4811, 2016.
• Sukhatme, P. V., Sukhatme, B. V., Sukhatme, S. and Asok, C. Sampling theory of surveys with applications. Iowa State University Press, Ames, Iowa (USA) and Indian Society of Agricultural Statistics, New Delhi, 1984.