Estimation of population mean using multi-auxiliary characters with subsampling the nonrespondents

B. B.  Khare; R. R. Sinha

doi:https://doi.org/10.59170/stattrans-2011-003

Estimation of population mean using multi-auxiliary characters with subsampling the nonrespondents

B. B. Khare Department of Statistics, Banaras Hindu University, Varanasi, India , R. R. Sinha Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India Statistics in Transition new series, vol. 12, 2011, 1, pages: 45-56 Published online: 1 August 2011 https://doi.org/10.59170/stattrans-2011-003

115 Views 3 Downloads

ARTICLE

(English) PDF

ABSTRACT

The aim of this paper is to suggest a class of two phase sampling estimators for population mean using multi-auxiliary characters in presence of non-response on study character. The expressions for bias and mean square error are obtained. The condition for minimum mean square error of the proposed class of estimators has been given. The optimum values of the size of first phase sample, second phase sample and the sub sampling fraction of non-responding group have been determined for the fixed cost and for the specified precision. A comparative study of the proposed class of estimators has been carried out with an empirical study.

KEYWORDS

Population mean; Bias; Mean square error; Multi-auxiliary characters.

REFERENCES

EL-BADRY, M. A. (1956). A sampling procedure for mailed questionnaires, Jour. Amer. Statist. Assoc, 51, 209-227.

FORADORI, G. T. (1961). Some non-response sampling theory for two stage designs, Mimeo, 297, North Carolina State College, Raleigh.

HANSEN, M. H. and HURWITZ, W. N. (1946). The problem of non-response in sample surveys, J. Amer. Stat. Assoc, 41, 517-529.

KHARE, B. B. (1992). Nonresponse and the estimation of population mean in its presence in sample surveys, Seminar proceedings. 12th orientation course (Science Stream) sponsored by U.G.C. Academic Staff College, B.H.U., India.

KHARE, B. B. and SINHA, R. R. (2002). General class of two phase sampling estimators for the population mean using an auxiliary character in the presence of non-response, Proceedings of the 5th International Symposium on Optimization and Statistics, 233-245.

KHARE, B. B. and SINHA, R. R. (2009). On class of estimators for population mean using multi-auxiliary character in presence of non-response, Statistics in Transition-new series, 10, 3-14.

KHARE, B. B. and SRIVASTAVA, S. (1993). Estimation of population mean using auxiliary character in presence of nonresponse, Nat. Acad. Sc. Letters, 16(3), 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, Proc. Nat. Acad. Sci., India, 65(a) II, 195-203.

KHARE, B. B. and SRIVASTAVA, S. (1996). Transformed product type estimators for population mean in presence of softcore observations, Proc. Math. Soc. BHU, 12, 29-34.

KHARE, B. B. and SRIVASTAVA, S. (1997). Transformed ratio type estimators for the population mean in the presence of non-response, Commun. Statis.Theory Math, 26(7), 1779-1791.

KHARE, B. B. and SRIVASTAVA, S. (2000). Generalised estimators for population mean in presence of nonresponse, Internal. J. Math. & Statist. Sci, 9(1), 75-87.

RAO, P. S. R. S. (1986). Ratio estimation with subsampling the nonrespondents, Survey Methodology, 12(2), 217-230.

RAO, P. S. R. S. (1990). Regression estimators with subsampling of nonrespondents, In-Data Quality Control, Theory and Pragmatics, (Eds.) Gunar E. Liepins and V.R.R. Uppuluri, Marcel Dekker, New York, 191-208.

REDDY, V. N. (1978). A study of use of prior knowledge on certain population parameters in estimation, Sankhya, C, 40, 29-37.

SRIVASTAVA, S. K. and JHAJJ, H. S. (1983). A class of estimators of the population mean using multi-auxiliary information, Cal. Statist. Assoc. Bull, 32, 47-56.