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A Class of Chain Type Estimators for Population Mean using two Auxiliary Variables in the Presence of Non-Response

Author Affiliations

  • 1Udai Pratap Autonomous College, Department of Statistics, Varanasi, INDIA
  • 2Udai Pratap Autonomous College, Department of Statistics, Varanasi, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (1), Pages 6-9, January,12 (2015)

Abstract

This paper discusses the problem of estimation of population mean in the case of non-response in double sampling. Here we obtained the mean square error and relative bias of the suggested class of estimators. The comparison of the suggested class of estimators to other relevant estimators is also derived. The suggested class of estimators found to be more efficient as compare to another estimators obtained by applying suitable values of some constant. An empirical study is also carried out to show the performance of the suggested estimators.

References

  1. Hansen M.H. and Hurwitz W.N., The problem of nonresponsein sample surveys, J. Amer. Statist. Assoc. 41,517-529, (1946)
  2. Rao, P.S.R.S., Ratio Estimation with sub sampling the nonrespondent, Survey methodology, 12(2), 217-230, (1986)
  3. Rao P.S.R.S., Ratio and Regression Estimates with subsampling the non respondent, Paper presented at a specialcontributed session of the International StatisticalAssociation Meetings, September, Tokyo, Japan,2-16,(1987)
  4. Khare B.B. and Srivastava S., Estimation of populationmean using auxiliary character in presence of nonresponse, Nat. Acad. Sc. Letters, India, 16(3), 111-114,(1993)
  5. Khare B.B. and Srivastava S., Study of conventional andalternative two-phase sampling ratio, product andregression estimators in presence of non -response, Proc.Nat. Acad .Sci. India, 65(A) (II), 195-203, (1995)
  6. Khare B.B., Srivastava U. and Kumar K., Chain ratioestimator for the population mean in the presence of nonresponse, Statistics in transition-new series, 13(3), 495-518, (2012)
  7. Okafor F.C. and Lee H., Double sampling for ratio andregression estimation with sub sampling the nonrespondent, Survey Methodology, 26, 183-188, (2000)
  8. Singh H.P. and Kumar S., Estimation of mean in presenceof non-response using two phase sampling scheme, Statistical Papers, DOI 10. 1007/s00362-008040-5, (2008)
  9. Tabasum R. and Khan I.A., Double sampling for ratioestimation with non response, J. Soc. Agril. Statist, 58(3),300-306, (2004)
  10. Tabasum R. and Khan I.A., Double sampling ratioestimator for the population mean in presence of nonresponse, Assam Statist. Review, 20(1), 73-83, (2006)