Table of Contents
ISRN Probability and Statistics
Volume 2013 (2013), Article ID 659580, 14 pages
Research Article

Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling

Department of Statistics, Panjab University, Chandigarh 160014, India

Received 16 June 2013; Accepted 2 August 2013

Academic Editors: X. Dang and S. Lototsky

Copyright © 2013 Pooja Bansal 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. O. Lorenz, “Methods of measuring the concentration of wealth,” Publication of the American Statistical Association, vol. 9, pp. 209–219, 1905. View at Google Scholar
  2. C. Gini, “Measurement of inequality of incomes,” The Economic Journal, vol. 31, pp. 124–126, 1921. View at Google Scholar
  3. A. F. Shorrocks, “Ranking income distributions,” Economica, vol. 50, pp. 3–17, 1983. View at Google Scholar
  4. P. Moyes, “A new concept of Lorenz domination,” Economics Letters, vol. 23, no. 2, pp. 203–207, 1987. View at Google Scholar · View at Scopus
  5. G. M. Giorgi, Concentration Index, Bonferroni, Encyclopedia of Statistical Sciences, vol. 2, John Wiley & Sons, New York, NY, USA, 1998.
  6. S. Arora, K. Jain, and S. Pundir, “On cumulated mean income curve,” Model Assisted Statistics and Applications, vol. 1, no. 2, pp. 107–114, 2006. View at Google Scholar
  7. B. Zheng, “Testing Lorenz curves with non-simple random samples,” Econometrica, vol. 70, no. 3, pp. 1235–1243, 2002. View at Google Scholar · View at Scopus
  8. G. A. Mcintyre, “A method for unbiased selective sampling, using ranked sets,” Australian Journal of Agricultural Research, vol. 2, pp. 385–390, 1952. View at Google Scholar
  9. M. M. Al-Talib and A. D. Al-Nasser, “Estimation of Gini-index from continuous distribution based on ranked set sampling,” Electronic Journal of Applied Statistical Analysis, vol. 1, pp. 33–41, 2008. View at Google Scholar
  10. R. Rubinstein, Simulation and the Monte Carlo Method, John Wiley & Sons, New York, NY, USA, 1981.