Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

Stochastic Comparisons of Order Statistics

  • Kim, Song-Ho (Department of Statistics, Tae-Shin University, Anyang, 430-015)
  • Published : 1993.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The purpose of this paper is to investigate the properties of order statistics under various stochastic relations. We study the stochastic comparison of order statistics in a single sample. And we consider two sample case too. For example, F(t) > G9t) for t > 0 when X and Y are random variables symmetric about 0, with c.d.f.s F and G. Two examples are provided.

Keywords

References

  1. Annals of Mathematical Statistics v.37 Inequalities for linear combinations of order statistics from restricted families Barlow,R.E.;Proschan,F.
  2. Annals of Mathematical Statistics v.19 On random variables with comparable peakedness Birnbaum,Z.W.
  3. Probability and Quality Control An Integral Inequality with Applications to Order Statistics Boland,P.J.;Proschan,F.;A.P.Basu(ed.)
  4. Order Statistics(2nd ed.) David,H.A.
  5. Advances in Applied Probability v.15 Despersive ordering is the same as tail-ordering Deshpande,J.V.;Kochar,S.C.
  6. Annals of Statistics v.2 Empirical probability plots and statistical inference for nonlinear models in the two-sample case Doksum,K.A.
  7. Annals of Mathematical Statistics v.38 Association of random variables, with applications Esary,J.D.;Proschan,P.;Walkup,D.W.
  8. Total Positivity v.Ⅰ Karlin,S.
  9. Ph.D.Thesis, Iowa State University Stochastic comparisons of order statistics Kim,S.H.
  10. Annals of Statistics v.3 Inequalities of s-orded distributions Lawrence,M.J.
  11. Journal of Applied Probability v.18 Dispersive distributions, and the connection between dispersivity and strong unimodality Lewis,T.;Thompson,J.W.
  12. Theory of Probability and Mathematical Statistics v.32 A characterization of confidence limits, with the help of order statistics, for the bulk of the distribution of a general population Madreimov,I.;Petunin,Yu.I.
  13. Scandinavian Journal of Statistics v.8 On location, scale, skewness and kurtosis of univariate distributions Oja,H.
  14. Stochastic Processes Ross,S.M.
  15. Journal of Applied Probability v.19 Dispersive ordering of distribution Shaked,M.
  16. Selected Tables in Mathematical Statistics v.8 Expected values and variances and covariances of order statistics for a family of symmetric distribution(student’s t) Tiku,M.L.;Kumra,S.;Institute of Mathematical Statistics(ed.),
  17. Mathematical Centre Tracts v.7 Convex transformation of random variables van Zwet,W.R.