Journal of applied mathematics & informatics

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

ON THE DEPENDENCE CONCEPTS OF STOCHASTIC PROCESSES

  • Published : 1999.09.01

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Abstract

In this paper we are obtained new results for bivariate pro-cesses which help us to tell the dependent structure among hitting times of the processes. We are proposed both dependence properties and the-oretical results among the processes and certain kinds of dependence properties when we are imposed on processes are reflected as analo-gous properties of corresponding hitting times. Finlly we are given some examples to illustrate these concepts.

Keywords

References

  1. Statis & Proba. lett. v.34 A weakly dependence structure of multivariate processes Baek.J.I.
  2. Statistical Theory of Reliability and Life Testing: Probability Models Barlow,R.E.;Proschan,F.
  3. Math. Operat. Res. v.1 Theory of maintained systems Barlow,R.E.;Proschan,F.
  4. Adv. Appl. Probab. v.20 Bivariate exponential and geometric autoregressive and autoregressive moving average models Block,H.;Langberg,N.A.;Stoffer,D.S.
  5. JMA v.23 Point processes and multivariate extreme values Deheuvels,P.
  6. J. Appl. Probab. v.24 Bivariate processes with positive or negative dependent structures Ebrahimi,N.
  7. Comm. Statist. Theo. Meth. v.11 no.21 The ordering of negative quadrant dependence Ebrahimi,N.
  8. Comm. Statist. A no.10 Multivariate negative dependence Ebrahimi,N.;Ghosh,M.
  9. J. Appl. probab. v.26 On the dependence structure of hitting times of univariate processes Ebrahimi,N.;Ramalingam,T.
  10. Proc. Nato Adv. Stu. Inst. Series 5 Dependence concepts for stochastic processes Friday,D.S.
  11. J. Appl. Prob. v.30 Stochatic processes directed by randomized time Lee,M.T.;Whitmore,H.A.
  12. Ann. Math. Stat. v.73 Some concepts of dependence Lehmann,E.L.