Nonparametric Selection Procedures and Their Efficiency Comparisons

  • Sohn, Joong-K. (Department of Statistics, Kyungpook National University) ;
  • Shanti S.Gupta (Department of Statistics, Purdue University) ;
  • Kim, Heon-Joo (Department of Statistics, Kyungpook National University)
  • Published : 1994.12.01

Abstract

We consider nonparametric procedures for the selection and ranking problems. Tukey's generalized lambda distribution is condidered as the distribution for the score function because the distribution can approximate many well-known contionuous distributions. Also we compare these procedures in terms of efficiency, defined by the ratio of a probability of a correct selection divided by the expected selected subset size.

Keywords

References

  1. Annals of Mathematical Statistics v.40 Selection procedures for restricted families of distributions Barlow, R. E.;Gupta, S. S.
  2. Optimizing Methods in Statistics Locally optimal subset selection procedures based on ranks Gupta, S. S.;Hung, D.-Y.;Nagel, K.;J. S. Rustagi(ed.)
  3. Nonparametric selection procedures for a two-way layout problem Gupta, S. S.;Leu, L.-Y.
  4. Locally optimal subset selection rules based on ranks under joint type Ⅱ censoring Gupta, S. S.;Liang, T.-C.
  5. Nonparametric Techniques in Statistical Inference On some classes of selection procedures based on ranks Gupta, S. S.;McDonald, G. C.;M. L. Puri(ed.)
  6. Robust and nonparametric subset selection procedures Hsu, J. C.
  7. Sankhya Series B v.43 A class of nonparametric subset selection procedures Hsu, J. C.
  8. Statistical Decision Theory and Related Topics-Ⅲ v.2 Some locally optimal subset selection rules based on ranks Huang, D.-Y.;Panchapakesan, S.;S. S. Gupta(eds.);J. O. Berger(eds.)
  9. On Some Distribution-free Ranking and Selection Procedures McDonald, G. C.
  10. Sankhya Ser. A v.34 Some multiple comparison selection procedures based on ranks McDonald, G. C.
  11. Sankhya Ser. A v.35 The distribution of some rank statistics with applications in block design selection problems McDonald, G. C.
  12. Sankhya Ser. B v.36 Characteristics of three selection rules based on ranks in the 3×2 exponential case McDonald, G. C.
  13. Moments of a rank vector with applications to selection and ranking Matsui, T.
  14. On Subset Selection Rules with Certain Optimality Properties Nagel, K.
  15. Annals of Mathematical Statistics v.38 Nonparametric procedures for selecting a subset containing the population with the largest α-quantile Rizvi, M. H.;Sobel, M.