# Estimation of Ratio of two Population means in a Class of Ratio-cum Regression type estimators using Auxiliary character with double Sampling in the presence of Non-response

Author Affiliations

^{1}Department of Statistics, Udai Pratap Autonomous College, Varanasi, U.P., INDIA^{2}Department of Statistics, Udai Pratap Autonomous College, Varanasi, U.P., INDIA

*Res. J. Mathematical & Statistical Sci.,* **Volume 3, Issue (8),** Pages 1-6, August,12 **(2015)**

## Abstract

In this paper, we represent estimation of ratio of two population means in Ratio-cum regression type estimator using auxiliary character with double sampling in the presence of non-response and also study and discuss their properties. After comparing the proposed estimator with relevant estimators, we conclude that the proposed estimator is more efficient on the basis of their mean square error. For numerical support, the empirical study is given

## References

- Hansen M.H. and Hurwitz W.N., The problem of nonresponse in sample surveys, Journal of the American Statistical Association, 41, 517-529 (1946)
- EL-Badry M.A., A sampling procedure for mailed questionnaires. Journal of the American Statistical Association, 51, 209-227 (1956)
- Singh M.P., On the estimation of ratio and product of population parameters, Sankhya, B,27, 321-328 (1965)
- Tripathi T.P., contribution of the sampling theory using multivariate information, Ph.D. thesis submitted to Punjabi University, Patiyala, India, (1970)
- Tripathi T.P., A general class of estimators for population ratio, Sankhya, 42C,1-2, 63-75 (1980)
- Upadhyaya L.N. and Singh H.P., A class of estimators using auxiliary information for estimating ratio of two finite population means, Gujarat Stat. Rev., 12(2), 7-16(1985)
- Srivastava S., Rani Srivastava, S.R. and Khare B.B., On generalized chain estimator for ratio and product of two population means using auxiliary characters, A.S.R., 2(1),21-29 (1988)
- Singh V.K., Singh, Hari P., Singh, Housila P. and Shukla D., A general class of Chain estimators for ratio and product of two means of population, Commu. Ststist. Theory-Method, 23(5), 1341-1355 (1994a)
- Singh V.K., Singh, Hari P. and Singh Housila P., Estimation for ratio and product of two population means in two- phase sampling, Jour. Ststist. Plan, Inference, 41, 163-171 (1994b)
- Singh V.P. and Singh H.P., Chain estimators for population ratio in double sampling, Aligarh Jour. Statat., 17 and 18, 85-100 (1997-98)
- Srivastava S.K., A two phase estimator in sampling survey, Aust. Jour. Statist., 12, 23-27, (1970)
- Kiregyera B., A chain ratio type estimator in finite population double sampling using two auxiliary variables Metrika, 27, 217-223 (1980)
- Kiregyera B., Regression-type estimators using two auxiliary variables and model of double sampling from finite populations, Metrika, 31, 215-226 (1984)
- Cochran W.G., Sampling techniques, Third edition. John wiley and sons, new york (1977)
- Rao, P.S.R.S., Ratio and regression Estimates with subsampling the nonrespondents, Paper Association Meeting presented at a special contributed session of the International Statistical, September, 2-16, Tokyo, Japan (1987)
- Rao, P.S.R.S., Regression estimators with sub sampling of nonrespondents. In: Gumer E. Liepins and V.R.R. Uppuluri, Marcel Dekker, eds. Data quality control theory and Pragmatics, New York, 191-208 (1990)
- Khare B.B, Pandey S.K. and Srivastava U., An improved class of two phase sampling estimators for population mean using auxiliary character in presence of nonresponse, J. Sci. Res. B.H.U., 55, 151-161 (2011)
- Khare B.B. and Habib ur Rehman, Generalized ratio cum regression type estimator for population mean using auxiliary variable with double sampling in the presence of non response, Journal of social and economic statistics, 3(1), 1-9 (2014)
- Khare B.B. and Pandey S.K., A class of estimators for ratio of two population means using auxiliary character in presence of non-response, J. Sc. Res. B.H.U., 50, 517-529 (2000)
- Khare B.B. and Sinha R.R., Estimation of the ratio of two population means using auxiliary character with unknown population mean in presence of non-response, Prog. of Maths. B.H.U., 36(1,2), 337-348 (2002)
- Khare B.B. and Sinha R.R., Estimation of finite population ratio using two phase sampling in presence of non-response, Aligarh J. Stat., 24, 43-56 (2004)
- Khare B.B. and Sinha R.R., Estimation of the ratio of two populations means using multi-auxiliary characters in the presence of non-response. Published in “Statistical Techniques in Life Testing, Reliability, Sampling Theory and Quality Control edited by B.N. Pandey, Narosa Publishing House, New Delhi, 163-171(2007)
- Khare B.B. and Sinha R.R., Improved class of estimators for ratio of two population means with double sampling the non-respondents, Statistika, Theory Meth., 49(3), 75-82 (2012)
- Khare B.B., Srivastava U. and Kumar. K., Chain type estimators for ratio of two population means using auxiliary characters in the presence of non-response, J. Sci. Res., B.H.U., 56, 183-196 (2012)
- Khare B.B., Srivastava U. and Kumar. K., Improved classes of Chain type estimators for ratio of two population means using two auxiliary characters in the presence of non-response, International Journal of Advance Statistics and Probability,1(3),.53-63(2013)
- Kumar N. and Patel K.M., Estimation of ratio of two population means using regression estimator in presence of non-response, Research Journal of Mathematical and Statistical Sciences, 3(1), 1-5, (2014)