Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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On the Partial Ordering of Hitting times of Bivariate Processes

  • Baek, Jong-Il (Department of Statistics, Wonkwang Univeristy, Ik-San, 570-749) ;
  • Seo, Hye-Young (Department of Statistics, Wonkwang University, Ik-San, 570-749)
  • Published : 1996.12.01
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Abstract

In this paper, a partial ordering of positive quadrant dependence(PQD) for bivariate stochastic processes are introduced and basic properties and closure under certain statistical operations are derived. Examples are given to illustrate these concepts

Keywords

References

  1. Technical Report AFOSR 78-6 Two concepts of positive dependence, with applications in multivariate analysis Ahmed, A.;Langberg, N.;Leon, R.;Proschan, F.
  2. Commu. Stat. Stoch. Models v.6 no.2 A weak quadrant dependence concept with applications Alzaid, A. A.
  3. Comm. of Koread. Math. Soci. v.11 no.3 A weakly dependence concept of bivariate stochastic processes Baek, J. I.
  4. Statistical Theory of Reliability and Life Testing: Probability Models Barlow, R.;Proschan, F.
  5. Math. Nochr v.82 Some classes of semi-ordering relations for random vectors and their use for comparing covariances Bergmann, R.
  6. Comm. Stat. Thor. Meth v.11 no.21 The ordering of negative quadrant dependence Ebrahimi, N.
  7. J. Appl. Prob. v.24 Bivariate processes with positive or negative dependent structures Ebrahimi, N.
  8. J. Appl. Prob. v.26 On the dependence structure of hitting times of multivariate Processes Ebrahimi, N.;Ramallingam
  9. Commun. Statist. v.A10 Multivariate negative dependence Ebrahimi, N.;Ghosh, M.
  10. Proc. Nato Advanced Study Instiutes Series 5 Dependence concepts for stochastic processes Friday, D. S.
  11. J. Statist. Planning Inf. v.16 Some properties of the maximum likelihood strategy for repairing a broken random sample Goel;Ramallingam
  12. J. Multivariate Anal. v.10 Classes of orderings of measures and related correlation inequalities Karlin,S.;Rinott,Y.
  13. Ann. Math. Statist. v.37 Some concepts of dependence Lehmann,E.
  14. Stochastic processes Ross,S.M.
  15. J. of Multivariate Analysis v.13 Positive dependence properties of elliptically symmetric distribution Sampson,A.R.
  16. J. of Applied Proba. v.19 Dispersive ordering of distributions Shaked,M.
  17. Probability inequalities in multivariate distributions Tong,Y.L.