A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE

In the present paper, we have proposed a class of ratio – type estimators for estimating the population mean Y¯ of the study variate y under double sampling in the presence of non-response, where information on the auxiliary variable is not known. For an appropriate weight a and a good range of α values, it is found that the proposed class of estimators is more efficient than some estimators which are obtained by applying congenial values of a and α. Comparison of the proposed class of estimators with other estimators is also worked out. Also the good range of α is obtained empirically for different values of a and k.

Keywords:

Study variate, Auxiliary variate, Non-response Double sampling, Bias, Mean squared error, 2000 AMS Classification: 62 D 05,

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Cochran, W. G. Sampling Techniques (3rd Edition, John Wiley & Sons, New York, 1977).
Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys, J. Amer. Statist. Assoc. 41, 517–529, 1946.
Khare, B. B. and Srivastava, S. Estimation of population mean using auxiliary character in presence of non-response, Nat. Acad. Sc. Letters, India, 16 (3), 111–114, 1993.
Khare, B. B. and Srivastava, S. Study of conventional and alternative two-phase sampling ratio, product and regression estimators in presence of non-response, Proc. Nat. Acad. Sci. India 65(A) (II), 195–203, 1995.
Khare, B. B. and Srivastava, S. Transformed ratio type estimators for the population mean in the presence of non-response. Comm. Statist. - Theory Methods 26 (7), 1779–1791, 1997.
Lewisi, P. A., Jones, P. W., Polak, J.W. and Tillotson, H. T. The problem of conversion in method comparison studies, Appl. Statist. 40 (1), 105–112, 1991.
Okafor, F. C. and Lee, H. Double sampling for ratio and regression estimation with sub sampling the non-respondent. Survey Methodology 26, 183–188, 2000.
Rao, P. S. R. S. Ratio Estimation with sub sampling the non-respondents, Survey Methodology 12 (2), 217–230, 1986.
Rao, P. S. R. S. Ratio and regression estimates with sub-sampling the non respondents, Paper presented at a special contributed session of the International Statistical Association Meetings, September, Tokyo, Japan, 2–16, 1987.
Singh, H. P. and Kumar, S. Estimation of mean in presence of non-response using two phase sampling scheme, Statistical Papers, DOI 10.1007/s00362-008040-5, 2008.
Singh, H. P. and Kumar, S. A regression approach to the estimation of finite population mean in presence of non-response, Aust. and New Zeal. J. Statist. 50 (4), 395–408, 2008.
Sisodia, B. V. S. and Dwivedi, V. K. A class of ratio cum product-type estimator in double sampling, Biom. J. 24(4), 419-424, 1982.
Tabasum, R. and Khan, I. A. Double sampling for ratio estimation with non response, J. Soc. Agril. Statist. 58 (3), 300–306, 2004.
Tabasum, R. and Khan, I. A. Double sampling ratio estimator for the population mean in presence of non-response, Assam Statist. Review 20 (1), 73–83, 2006.
Tripathi, T. P. and Khare, B. B. Estimation of mean vector in presence of non response, Commun. Statist.- Theory- Math. 26 (9), 2255–2269, 1997.