International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Some Imputation Methods in Double Sampling Scheme to Estimate the Population Mean

Author Affiliations

  • 1Department of Mathematics and Statistics, Banasthali University, Banasthali, Rajasthan, INDIA
  • 2Department of Statistics, Delhi University, Delhi, INDIA
  • 3Department of Mathematics and Statistics, Dr. H.S. Gour Central Univesity, Sagar, MP, INDIA

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (9), Pages 1-10, October,12 (2013)

Abstract

In this paper, various imputation methods for missing values in double sampling scheme are suggested. Two different sampling designs in double sampling scheme are compared under imputed data. For different suggested estimators the bias and m.s.e up to the first order approximation are derived. Numerical study is performed over two populations using the expressions of bias and m.s.e and also efficiency compared with Ahmed estimators.

References

  1. Shukla D., Thakur N.S., Pathak S. and Rajput D.S., Estimation of mean with imputation of missing data using factor- typeestimator in two-phase sampling, Statistics in Transition, 10(3), 397-414 (2009)
  2. Thakur N.S., Yadav K. and Pathak S., Estimation of mean in presence of missing data under two-phase sampling scheme, Journal of Reliability and Statistical Studies, 4(2), 93-104 (2011)
  3. Thakur N.S., Yadav K. and Pathak S., Some imputation methods in double sampling scheme for estimation of populationmean, International Journal of Modern Engineering Research, 2(1), 200-207 (2012)
  4. Rao J.N.K. and Sitter R.R., Variance estimation under two-phase sampling with application to imputation for missing data, Biometrica, 82, 453-460 (1995)
  5. Shukla D. and Thakur N.S., Estimation of mean with imputation of missing data using factor-type estimator, Statistics inTransition, 9(1), 33-48 (2008)
  6. Ahmed M.S., Al-Titi O., Al-Rawi Z. and Abu-Dayyeh W., Estimation of a population mean using different imputationmethods, Statistics in Transition, 7(6), 1247-1264 (2006)
  7. Shukla D., Thakur N.S., Pathak S. and Rajput D.S., Estimation of mean with imputation of missing data using factor- typeestimator in two-phase sampling, Statistics in Transition, 10(3), 397-414 (2009)
  8. Thakur N.S., Yadav K. and Pathak S., Imputation using regression estimators for estimating population mean in two-phasesampling, Journal of Reliability and Statistical Studies, 5(2), 21-31 (2012)
  9. Thakur N.S., Yadav K. and Pathak S., Mean estimation with imputation in two-phase sampling, International Journal ofModern Engineering Research, 2(5), 3561-3571 (2012)
  10. Thakur N.S., Yadav K. and Pathak S., On mean estimation with imputation in two-phase sampling design, Research Journalof Mathematical and Statistical Sciences, 1(3), 1-9 (2013)