Estimation of the Population Mean in Presence of Non-Response

Title & Authors
Estimation of the Population Mean in Presence of Non-Response
Kumar, Sunil; Bhougal, Sandeep;

Abstract
In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean $\small{\={Y}}$ of the study variable y in presence of non-response in different situations viz. (i) population mean $\small{\={X}}$ is known, and (ii) population mean $\small{\={X}}$ is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.
Keywords
Study variable;auxiliary variable;bias;mean squared error;exponential estimator;non-response;
Language
English
Cited by
1.
Improved Exponential Estimator for Estimating the Population Mean in the Presence of Non-Response,;

Communications for Statistical Applications and Methods, 2013. vol.20. 5, pp.357-366
1.
Improved Exponential Estimator for Estimating the Population Mean in the Presence of Non-Response, Communications for Statistical Applications and Methods, 2013, 20, 5, 357
2.
Improved estimation of population mean in presence of nonresponse and measurement error, Journal of Statistical Theory and Practice, 2016, 10, 4, 707
References
1.
Cochran, W. G. (1977). Sampling Techniques, 3rd ed., John Wiley and 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.

3.
Khare, B. B. and Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response, The National Academy of Sciences, Letters, India, 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, Proceedings of the National Academy of Sciences, India, 65(A), 195-203.

5.
Khare, B. B. and Srivastava, S. (1997). Transformed ratio type estimators for the population mean in the presence of non-response, Communications in Statistics - Theory and Methods, 26, 1779-1791.

6.
Lewisi, P. A., Jones, P. W., Polak, J. W. and Tillotson, H. T. (1991). The problem of conversion in method comparison studies, Journal of the Royal Statistical Society. Series C (Applied Statistics), 40, 105-112.

7.
Okafor, F. C. and Lee, H. (2000). Double sampling for ratio and regression estimation with sub-sampling the non-respondents, Survey Methodology, 26, 183-188.

8.
Rao, P. S. R. S. (1986). Ratio estimation with sub sampling the non-respondents, Survey Methodology, 12, 217-230.

9.
Rao, P. S. R. S. (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.

10.
Singh, D. and Choudhary, F. S. (1986). Theory and Analysis of Sample Survey Designs,Wiley Eastern Limited, New Delhi, p.108.

11.
Singh, H. P. and Kumar, S. (2008). A regression approach to the estimation of finite population mean in presence of non-response, Australian and New Zealand Journal of Statistics, 50, 395-408.

12.
Singh, H. P. and Kumar, S. (2009a). A general class of estimators of the population mean in survey sampling using auxiliary information with sub sampling the non-respondents, The Korean Journal of Applied Statistics, 22, 387-402.

13.
Singh, H. P. and Kumar, S. (2009b). A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information, SORT, 33, 71-84.

14.
Singh, H. P. and Kumar, S. (2010). Estimation of mean in presence of non-response using two phase sampling scheme, Statistical Papers, 50, 559-582.

15.
Singh, H. P., Kumar, S. and Kozak, M. (2010). Improved estimation of finite population mean when sub-sampling is employed to deal with non-response, Communication in Statistics - Theory and Methods, 39, 791-802.

16.
Singh, H. P. and Ruiz Espejo, M. (2003). On linear regression and ratio-product estimation of a finite population mean, Journal of the Royal Statistical Society. Series D (The Statistician), 52, 59-67.

17.
Singh, R., Chauhan, P. and Sawan, N. (2008). On linear combination of ratio and product type exponential estimator for estimating the finite population mean, Statistics in Transition - New Series, 9, 105-115.

18.
Srinath, K. P. (1971). Multiphase sampling in non-response problems, Journal of the American Statistical Association, 66, 583-586.

19.
Tabasum, R. and Khan, I. A. (2004). Double sampling for ratio estimation with non- response, Journal of the Indian Society of Agricultural Statistics, 58, 300-306.

20.
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.