Abstract
This paper considers the problem of estimating the population mean using information on an auxiliary variable in presence of non-response. Some modified ratio, product and regression estimators in double sampling have been suggested and their properties are studied. It is shown that to the first degree of approximation, estimators based on estimated optimum values have the same variance as that of the optimum estimators. An empirical study is carried to judge the merits of the suggested estimators over conventional unbiased estimator and other known estimators. Both theoretical and empirical study results present the soundness and usefulness of the suggested estimators in practice.
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References
Cochran WG (1977) Sampling tehniques, 3rd edn. Wiley, New York
Das AK, Tripathi TP (1978) Use of auxiliary information in estimating the finite population variance. Sankhya C 40: 139–148
Hansen MH, Hurwitz WN (1946) The problem of non-response in sample surveys. J Am Stat Assoc 41: 517–529
Khare BB, Sinha RR (2004) Estimation of finite population ratio using two-phase sampling scheme in the presence of non-response. Aligarh J Stat 24: 43–56
Khare BB, Srivastava S (1993) Estimation of population mean using auxiliary character in presence of non-response. Nat Acad Sci Lett India 16(3): 111–114
Khare BB, 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 II 65(A): 195–203
Khare BB, Srivastava S (1997) Transformed ratio type estimators for the population mean in the presence of non-response. Commun Stat Theory Methods 26(7): 1779–1791
Murthy MN (1967) Sampling theory and methods, 1st edn. Calcutta Statistical society, Kolkatta, pp 127–130
Okafor FC (2001) Treatment of non-response in successive sampling. Stat LXI 2: 195–204
Okafor FC (2005) Sub-sampling the non-respondents in two-stage sampling over two successive occasions. J Ind Stat Assoc 43(1): 33–49
Okafor FC, Lee H (2000) Double sampling for ratio and regression estimation with sub-sampling the non-respondents. Surv Methodol 26(2): 183–188
Rao PSRS (1986) Ratio estimation with sub-sampling the non-respondents. Surv Methodol 12(2): 217–230
Rao PSRS (1987) Ratio and regression estimates with sub-sampling the non-respondents. Paper presented at a special contributed session of the International Statistical Association Meeting, Sept., 2–16, Tokyo, Japan
Reddy VN (1973) On ratio and product method of estimation. Sankhya (B) 35: 307–316
Reddy VN (1974) On transformed ratio method of estimation. Sankhya (C) 36: 59–70
Srivastava SK (1967) An estimator using auxiliary information in sample surveys. Calcutta Stat Assoc Bull 16: 121–132
Srivastava S (1993) Some problems on the estimation of population mean using auxiliary character in presence of non-response in sample surveys. Thesis Banaras Hindu University, Varanasi, India (submitted)
Srivenkataramana T, Tracy DS (1980) An alternative to ratio method in sample surveys. Ann Inst Stat Math 32: 111–120
Srivenkataramana T, Tracy DS (1981) Extending product method of estimation to positive correlation case in surveys. Aust J Stat 23(1): 95–100
Tabasum R, Khan IA (2004) Double sampling for ratio estimation with non-response. J Ind Soc Agril Stat 58(3): 300–306
Tabasum R, Khan IA (2006) Double sampling ratio estimator for the population mean in presence of non-response. Assam Stat Rev 20(1): 73–83
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Singh, H.P., Kumar, S. Estimation of mean in presence of non-response using two phase sampling scheme. Stat Papers 51, 559–582 (2010). https://doi.org/10.1007/s00362-008-0140-5
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DOI: https://doi.org/10.1007/s00362-008-0140-5