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Journal of Probability and Statistics
Volume 2012 (2012), Article ID 214959, 12 pages
http://dx.doi.org/10.1155/2012/214959
Research Article

Double Sampling with Ranked Set Selection in the Second Phase with Nonresponse: Analytical Results and Monte Carlo Experiences

1Software Development Division, Institute of Computing Training, Cuba
2Universidad de La Habana, Habana, Cuba

Received 19 May 2011; Revised 5 December 2011; Accepted 21 December 2011

Academic Editor: Man Lai Tang

Copyright © 2012 Gaajendra K. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Rueda and S. González, “Missing data and auxiliary information in surveys,” Computational Statistics, vol. 19, no. 4, pp. 551–567, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. S. Singh, Advanced Sampling Theory with Applications, Kluwer Academic, Dordrecht, The Netherlands, 2003.
  3. W. G. Cochran, Sampling Techniques, Wiley and Sons, New York, NY, USA, 1971.
  4. H. P. Singh and S. Kumar, “A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information,” Statistics and Operations Research Transactions, vol. 33, no. 1, pp. 71–84, 2009. View at Google Scholar
  5. M. H. Hansen and W. N. Hurvitz, “The problem of non responses in survey sampling,” Journal of American Statistical Association, vol. 41, pp. 517–523, 1946. View at Publisher · View at Google Scholar
  6. K. P. Srinath, “Multiphase sampling in nonresponse problems,” Journal of the American Statistical Association, vol. 66, pp. 583–589, 1971. View at Publisher · View at Google Scholar
  7. C. N. Bouza, “Sobre el problema de la fraccion de submuestreo para el caso de las no respuestas,” Trabajos de Estadistica y de Investigacion Operativa, vol. 32, no. 2, pp. 30–36, 1981. View at Publisher · View at Google Scholar · View at Scopus
  8. G. A. McIntire, “A method for unbiased sampling using ranked sets,” Australian Journal of Agricultural Research, vol. 3, pp. 385–390, 1952. View at Publisher · View at Google Scholar
  9. T. R Dell and J. L. Clutter, “Ranked set sampling theory with order statistics background,” Biometrics, vol. 28, pp. 545–555, 1972. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. K. Takahashi and M. Wakimoto, “On unbiased estimates of the population mean based on the sample stratified by means ordering,” Annals of the Institute of Mathematical Statistics, vol. 20, no. 1, pp. 1–31, 1967. View at Publisher · View at Google Scholar
  11. C. N. Bouza, “Estimation of the mean in ranked set sampling with non responses,” Metrika, vol. 56, no. 2, pp. 171–179, 2002. View at Publisher · View at Google Scholar
  12. B. B. Khare and S. Srivastava, “Estimation of population mean using auxiliary character in presence of non-response,” National Academy of Science Letters, vol. 16, pp. 111–114, 1993. View at Google Scholar · View at Zentralblatt MATH
  13. B. B. Khare and S. Srivastava, “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, vol. 65, pp. 195–203, 1995. View at Google Scholar
  14. H. P. Singh and S. Kumar, “Estimation of mean in presence of non-response using two phase sampling scheme,” Statistical Papers, vol. 51, no. 3, pp. 559–582, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. H. P. Singh and S. Kumar, “A regression approach to the estimation of the finite population mean in the presence of non-response,” Australian & New Zealand Journal of Statistics, vol. 50, no. 4, pp. 395–408, 2008. View at Publisher · View at Google Scholar