GENERALIZED DUAL ESTIMATORS FOR ESTIMATING MEAN USING SUB-SAMPLING THE NON-RESPONDENTS

Authors

  • Iqra Ehsan COMSATS University Islamabad, Lahore Campus, Pakistan
  • Aamir Sanaullah COMSATS University Islamabad, Lahore Campus, Pakistan

Keywords:

Supporting Variable, Regression Estimator, Dual Estimator, Non-Response, Mean Squared Errors, Double Sampling

Abstract

In this paper an improved “class of generalized dual estimators is proposed for estimating the population mean considering the prevalence of non-response in two different cases regarding the availability of population mean of the supportive variable. Expressions for the bias and the mean square error of the advised generalized class of dual estimators in each case are derived along with the optimum conditions which make the proposed generalized estimator more efficient than some of the existing estimators.” Empirical studies have also been provided to establish the advantage of the advised generalized class of dual estimators. This paper illustrates that the proposed estimators perform better in each case than the existing estimators.

Downloads

Download data is not yet available.

References

Chanu and Singh (2015). Improved exponential ratio cum exponential dual to ratio estimator of finite population mean in presence of non-response, Journal of Statistics Applications and Probability, 4(1), p. 103-111.

Cochran, W.G. (1977). Sampling Techniques, 3rd Edition, New York, John Wiley and Sons.

Hansen, M.H. and Hurwitz, W.N., (1946). The Problem of non-response in sample Survey, Journal of the American Statistical Association, 41, p. 516- 529.

Khare, B.B. and Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response, The National Academy of Sciences, Letters, India, 16, p. 111-114.

Khare, B.B. and Srivastava, S. (1995). Study of conventional and alternative two phase sampling ratio product and regression estimators in presence of non-response, Proceedings of the National Academy of Sciences, 65, p. 195- 203.

Khare, B. B. and Srivastava, S. (1997). Transformed ratio type estimators for the population mean in the presence of non-response, Communications in Statistics - Theory and Methods, 26, p. 1779-1791.

Kumar, S. (2012). Utilization of some known population parameters for estimating population mean in presence of non-response, Pakistan Journal of Statistics and Operation Research, 8(2), p. 233-244.

Kumar, S. and Bhougal, S. (2011). Estimation of the population mean in presence of non-response, Communications of the Korean Statistical Society, 18(4), p. 1-12.

Murthy, M. N. (1964). Product method of estimation, Sankhya, 26, p. 294-307.

Saleem, I., Sanaullah, A., and Hanif, M. (2018a). Generalized family of estimators in stratified random sampling using subsampling of non- respondents, Journal of Reliability and Statistical Studies, 11(2), p. 159-173.

Saleem, I., Sanaullah, A., and Hanif, M. (2018b). A generalized class of estimators for estimating population mean in the presence of non-response, Journal of Statistical Theory and Applications, 17(4), p. 616-626.

Samiuddin, M. and Hanif, M. (2006). Estimation in two phase sampling with complete and incomplete information, Proceedings: 8th Islamic Countries Conference on Statistical Science, 13, p. 479-495.

Sanaullah, A., Ali, H.A., Noor-ul-Amin, M. and Hanif, M. (2014). Generalized exponential chain ratio estimators under stratified two phase random sampling, Applied Mathematics and Computation, 226, p. 541-547.

Sanaullah, A., Noor-ul-Amin, M., and Hanif, M. (2015).Generalized exponential-type ratio-cum-ratio and product-cum-product estimators for population mean in the presence of non-response under stratified two-phase random sampling, Pakistan Journal of Statistics, 31(1), p. 71-94.

Singh, R., Chauhan, P. and Sawan, N. (2008). On linear combination of ratio and product type exponential estimator for estimating the finite population mean, Statistics in Transition, 9(1), p. 105-115.

Singh, H.P., and Bhougal, S. K. (2010). Improved estimation of population mean under two-phase sampling with sub-sampling the non-respondents, Journal of Statistical Planning and Inference, 140(9), p. 2536-2550.

Srivenkataramana, T. (1980). A dual to ratio estimator in sample surveys, Biometrika, 67, p. 194-204.

Sukhatme, B.V. (1962). Some ratio-type estimators in two-phase sampling, Journal of the American Statistics Association, 57, p. 628-632.

Downloads

Published

2019-05-15

How to Cite

Ehsan , I. ., & Sanaullah, A. . (2019). GENERALIZED DUAL ESTIMATORS FOR ESTIMATING MEAN USING SUB-SAMPLING THE NON-RESPONDENTS. Journal of Reliability and Statistical Studies, 12(01), 139–158. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/20821

Issue

Section

Articles