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A General Class of Estimators of the Population Mean in Survey Sampling Using Auxiliary Information with Sub Sampling the Non-Respondents
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 Title & Authors
A General Class of Estimators of the Population Mean in Survey Sampling Using Auxiliary Information with Sub Sampling the Non-Respondents
Singh, Housila P.; Kumar, Sunil;
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 Abstract
In this paper we have considered the problem of estimating the population mean of the study variable y using auxiliary information in presence of non-response. Classes of estimators for in the presence of non-response on the study variable y only and complete response on the auxiliary variable x is available, have been proposed in different situations viz., (i) population mean is known, (ii) when population mean and variance are known; (iii) when population mean is not known: and (iv) when both population mean and variance are not known: single and two-phase (or double) sampling. It has been shown that various estimators including usual unbiased estimator and the estimators reported by Rao (1986), Khare and Srivastava (1993, 1995) and Tabasum and Khan (2006) are members of the proposed classes of estimators. The optimum values of the first phase sample size n', second phase sample size n and the sub sampling fraction 1/k have been obtained for the fixed cost and the fixed precision. To illustrate foregoing, we have carried out an empirical investigation to reflect the relative performance of all the potentially competing estimators including the one due to Hansen and Hurwitz (1946) estimator, Rao (1986) estimator, Khare and Srivastava (1993, 1995) and Tabasum and Khan (2006) estimator.
 Keywords
Asymptotic variance;study variable;auxiliary variable;non-response;double sampling;
 Language
English
 Cited by
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2.
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Improved Exponential Estimator for Estimating the Population Mean in the Presence of Non-Response, Communications for Statistical Applications and Methods, 2013, 20, 5, 357  crossref(new windwow)
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 References
1.
Cochran, W. G. (1977). Sampling Techniques, 3rd ed., John Wiley & Sons, New York

2.
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 crossref(new window)

3.
Khare, B. B. and Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response, National Academic Science and Letters, 16, 111-114

4.
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, In Proceedings of the Indian National Science Academy, 65(A), 195-203

5.
Rao, P. S. R. S. (1986). Ratio estimation with sub sampling the non-espondents, Survey Methodology, 12, 217-230

6.
Srivastava, S. K. (1967). An estimator using auxiliary information in sample surveys, Bulletin of the Calcutta Statistical Association, 16, 121-132

7.
Srivastava, S. K. (1971). A generalized estimator for the mean of a finite population using multi auxiliary information, Journal of the American Statistical Association, 66, 404-407 crossref(new window)

8.
Srivastava, S. K. and Jhajj, H. S. (1981). A class of estimators of the population mean in survey sampling using auxiliary information, Biometrika, 68, 341-343 crossref(new window)

9.
Srivastava, S. K. and Jhajj, H. S. (1987). Improved estimation in two-phase and successive sampling, Journal of Indian Society of Agricultural Statistics, 25, 71-75

10.
Tabasum, R. and Khan, I. A. (2006). Double sampling ratio estimator for the population mean in presence of non-response, Assam Statistical Review, 20, 73-83