Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A PARTIAL ORDERING OF SOME NEGATIVE DEPENDENCE NOTIONS

  • J. I. Baek (School of Mathematical Science, Wunkwang University) ;
  • Lee, S. W. (school of mathematics & information statistics at Won kwang University) ;
  • Lee, Y. R. (Department of computer science at Hong Sung, Chung Woon University)
  • Published : 2002.09.01

⟨ Previous Next ⟩

Abstract

In this paper, we show that NQD ordering is preserved under mixture, limits in distribution, invariant under transformation of increasing functions. Finally, we explore the characterization and limit in distribution of RTD(LTI) ordering and some properties.

Keywords

References

  1. AFOSR Technical Report 78-5 A partial ordering of positive quadrant dependence, with applications Ahmed, A.;Langberg, N.;Leon, R.;Proschan, F.
  2. AFOSR Technical Report 78-6 Two Concepts of Positive Dependence with Applications in Multivariate Analysis Ahmed, A.;Langberg, N.;Leon, R.;Proschan, F.
  3. Korean J. Comput. & Appl. Math.(Series A) v.7 On the weakly positive orthant dependence ordering Baek, J.I.;Seok, E.Y.
  4. Statistical theory of reliability and life testing: Probability Models Barlow, R.;Proschan, F.
  5. Some concepts of negative dependence Block, H. W.;Savits, T.H.;Shaked, M.
  6. A course in probability theory Chung, K.L.
  7. Commun. Statist. v.10 Multivariate Negative Dependence Ebrahimi, N.;Ghosh, M.
  8. Ann. Math. Statist. v.38 Association of random variables applications Esary, J. D.;Proschan, F.;Walkup. D. W.
  9. Technical Report Probability inequalities for multivariate distribut ions dependence structures Glaz, J.;Johnson, B.M.
  10. Ann. Math. Statist. v.39 Characterization of independence in certain families of bivariate and multivariate distributions Jogdeo,K.
  11. J. Multi. Anal. v.10 Classes of orderings of measures and related correlation inequalities Karlin, S.;Rinott, Y.
  12. Ann. Inst. Statist. v.41 A framework for positive dependence Kimeldorf, G.;Sampson, A.R.
  13. Introductory real analysis Kolomov, A. N.;Fomin, S. V.
  14. Ann. Math. Statist. v.37 Some Concepts of Dependence Lehmann, E.
  15. Probability inequalities in multivariate distributions Tong, Y. L.