A PARTIAL ORDERING OF CONDITIONALLY POSITIVE QUADRANT DEPENDENCE

  • Published : 2001.04.01

Abstract

A partial ordering is developed here among conditionally positive quadrant dependent (CPQD) bivariate random vectors. This permits us to measure the degree of CPQD-ness and to compare pairs of CPQD random vectors. Some properties and closure under certain statistical operations are derived.

Keywords

References

  1. Technical Report v.78 Partial Ordering if Positive Quadrant Dependence with Applications N. A. Abdul-Hadi;A. L. Naftali;V. L. Ramon;P. Frank
  2. Technical Report AFOSR v.78 Two Concept of Positive Dependence with Applications in Multivariate Analysis A. Ahmed;N. Langberh;R. Leon;F. Proschan
  3. Stat. & Probab. Lett v.34 A weakly dependence of Structure of multivariate processes J. I. Baek
  4. Statistical Theory of Reliability and Life Testing: Probability Models R. Barlow and F. Proschan
  5. Inst. Math. Statist. v.16 Stochastically Monotone Dependence Topics in Statistical Dependence B. M. Brahy.;N. D. Singpurwalla;H. W. Block(ed.);A. R. Sampson(ed.);T. H. Savets(ed.)
  6. Commun. Statist. v.10 Multivariate Negative Dependence N. Ebrahimi;M. Ghosh
  7. Ann. Statist. v.14 Conditional Association and Unidimensionality in Monotone Latent Variable Models P. W. Holland;P. R. Rosenbaum
  8. J. Multivariate. Annl. v.10 Classes of orderings of measures and related correlation inequalities S. Karlin;Y. Rinott
  9. Ann. Statist. v.6 Monotone Dependence G. Kimeldorf;A. R. Sampson
  10. Ann. Math. Statist. v.37 Some Concepts of Dependence E. Lehmann
  11. Jour. of Multivari. Analysis v.13 Positive dependence properties of elliptically symmetric distributions A. R. Sampson
  12. J. Multi. Anal. v.12 A General Theory of Some Positive Dependence Notions M. Shaked
  13. Ann. Statist. v.4 Bivariate Distributions with Given Marginals W. Whitt