An Improvement in Estimation of Population Mean using Two Auxiliary Variables and Two- Phase Sampling Scheme under Non-Response
DOI:
https://doi.org/10.13052/jrss0974-8024.13247Keywords:
Ratio and regression-type estimators, population mean, two-phase sampling scheme, auxiliary information, non-responseAbstract
In the present paper, we have proposed some improved ratio and regression-type estimators of the finite population mean utilizing the information on two auxiliary variables in the presence of non-response. The two-phase sampling scheme has been used to accomplish the job of estimating the desired parameter. The expressions for the basic properties such as bias and mean square error (MSE) of the proposed estimators have been derived up to the first order of approximation. A comparative study of the proposed estimators with some existing estimators has also been carried out through a real data set.
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References
Chand, L. (1975). Some ratio-type estimators based on two or more auxiliary variables, Unpublished Ph. D. Thesis, Iowa State University, Ames, Iowa, U.S.A.
Chaudhary, M. K. and Kumar, A. (2016). Estimation of mean of finite population using double sampling scheme under non-response, Journal of Statistics Application and Probability (JSAP), Vol. 5, No. 2, 287–297.
Hansen, M. H. and Hurwitz, W. N. (1946). The problem of non-response in sample surveys, Journal of the American Statistical Association, 41, 517–529.
Khare, B. B. and Sinha, R. R. (2007). Estimation of the ratio of the two population means using multi auxiliary characteristics in the presence of non-response, In Statistical Techniques in Life Testing, Reliability, Sampling Theory and Quality Control, 163–171.
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, Nat. Acad. Sci. Lett. India, 65, 195–203.
Kiregyera, B. (1980). A chain ratio-type estimator in finite population double sampling using two auxiliary variables, Metrika, 31, 215–226.
Olkin, I. (1958). Multivariate ratio estimation for finite populations, Biometrika, 45, 154–165.
Shabbir, J. and Nasir, S. (2013). On estimating the finite population mean using two auxiliary variables in two phase sampling in the presence of non response, Communication in Statistics-Theory and Methods, 42, 4127–4145.
Singh, H. P. and Kumar, S. (2009). A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information, SORT, 33(2.1), 71–84.
Singh, H. P., Kumar, S. and Kozak, M. (2010). Improved estimation of finite population mean using sub-sampling to deal with non response in two phase sampling scheme, Communication in Statistics-Theory and Method, 39(5), 791–802.
Srivastava, S. K. (1966). A note on Olkin’s multivariate ratio estimator, Journal of the Indian Statistical Association, 4, 202–208.
Verma, H. K., Sharma, P. and Singh, R. (2014). Some ratio cum product type estimators for population mean under double sampling in the presence of non-response, J. Stat. Appl. Pro. 3, No. 3, 379–385.
