Chain Ratio Estimator for the Population Mean in the Presence of Non-Response

• Authors: Khare B. B. , Srivastava U. , Kumar K.
• Languages of publication: EN

Abstracts

EN

In this paper we have proposed two chain ratio type estimators for population mean using two auxiliary variables in the presence of non-response. The proposed estimators have been found to be more efficient than the relevant estimators for the fixed values of preliminary sample of size n′and subsample of size n(

Keywords

EN

chain ratio type estimator; preliminary sample; bias; mean square error; non-response; additional auxiliary variable

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2012
• Volume: 13
• Issue: 3
• Pages: 495-518

Contributors

author

Khare B. B.

• Banaras Hindu University

author

Srivastava U.

• Banaras Hindu University

author

Kumar K.

• Banaras Hindu University

References

• BOWELY, A. L. (1926). Measurements of precision attained in sampling. Bull. Inter. Statist. Inst., 22: 1-62.
• CHAND, L. (1975). Some ratio-type estimators based on two or more auxiliary variables. Ph.D. Thesis submitted to Iowa State University, Ames, IOWA.
• COCHRAN, W. G. (1940). The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce. Jour. Agri. Science, 30: 262-275.
• COCHRAN, W. G. (1942). Sampling theory when the sampling units are of unequal sizes. Jour. Amer. Statist. Assoc., 37: 199-212.
• HANSEN, M. H. and HURWITZ, W. N. (1946). The problem of non-response in sample surveys. Jour. Amer. Statist. Assoc., 41: 517-529.
• HANSEN, M. H., HURWITZ, W. N. and MADOW, W. G. (1953). Sample Survey methods and theory Vol. 2: John Wiley and Sons, New York.
• KHARE, B. B. and SRIVASTAVA, S. (1993). Estimation of population mean using auxiliary character in presence of non-response. Nat. Acad. Sc. Letters, India, 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 nonresponse. Proc. Nat. Acad. Sci., India, 65(A) II: 195-203.
• KHARE, B. B. and SINHA, R. R. (2007). Estimation of the ratio of the two population means using multi-auxiliary characters in the presence of non-response. Statistical Techniques in Life Testing, Reliability, Sampling Theory and Quality Control, 163-171.
• KIREGYERA, B. (1980). A chain ratio type estimator in finite population double sampling using two auxiliary variables. Metrika, 27: 217-223.
• KIREGYERA, B. (1984). Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations. Metrika, 31: 215-226.
• LITTLE, R. J. A. and RUBIN, D. B. (2002). Statistical Analysis with missing Data, New York: Wiley.
• NEYMAN, J. (1934). On the two different aspects of representative method, the method of stratified sampling and the method of purposive selection. Jour. Roy. Statist. Soc., 97: 558-625.
• NEYMAN, J. (1938). Contributions to the theory of sampling human population. J. Amer. Statist Assoc., 33: 101-116.
• RAO, C. R. and TOUTENBURG , H. (1995). Linear Models: Least Squares and Alternatives. New York: Springer.
• RAO, P. S. R. S. (1986). Ratio estimation with subsampling the nonrespondents. Survey Methodology, 12(2): 217-230.
• RAO, P. S. R. S. (1987). Ratio and regression Estimates with Subsampling the non-respondents. Paper presented at a special contributed session of the International Statistical Association Meetings, September, 2-16, Tokyo, Japan.
• ROBSON, D. S. (1957). Applications of multivariate polykays to the theory of unbiased ratio-type estimators. Jour. Amer. Statist. Assoc., 52: 511-522.
• SRIVASTAVA, S. RANI, KHARE, B. B. and SRIVASTAVA, S. R. (1990). A generalised chain ratio estimator for mean of finite population. Jour. Ind. Soc. Ag. Statistics, 42(1): 108-117.
• TOUTENBURG, H. and SRIVASTAVA, V. K. (1998). Estimation of ratio of population means in survey sampling when some observations are missing. Metrika, 48: 177-187.
• TOUTENBURG, H. and SRIVASTAVA, V. K. (2003). Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics. Statistica, LXIII, 2: 2003.
• WATSON, D. J. (1937). The estimation of leaf areas. Jour. Agril. Sci., 27: 474-481.