Association and Dependence

  • Arjun K. Gupta
  • Wei-Bin Zeng
  • Yanhong Wu


In this chapter, we shall first generalize the concepts of association and dependence in the bivariate case. We shall see that there are a variety of ways of extending the concept of association. Then, we shall consider its applications to lifetime distribution and see how we can generalize the concepts of failure rates and residual life, and thus the notions of multivariate lifetime distribution classes. Finally, we shall discuss the concept of negative association.


Negative Association Hazard Rate Residual Life Joint Moment Multivariate Case 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA
  3. 3.Department of MathematicsCalifornia State University StanislausTurlockUSA

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