2012 | 13 | 3 | 495-518
Article title

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

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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(
Physical description
  • Banaras Hindu University
  • Banaras Hindu University
  • 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.
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