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On the Conditional Dependence Structure of Multivariate Random Variables

  • Baek, Jong-Il;Park, Sung-Tae;Chung, Sung-Mo;Lee, Gil-Hwan;Heo, Gil-Pyo
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.513-524
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    • 2006
  • In this paper, we introduce a new notions of conditionally weak dependence and we study their properties, preservation of the conditionally weak independent and positive and negative quadrant dependent(CWQD) property under mixtures, limits, closure under convex combinations, and their interrelationships. Furthermore, we extend multivariate stochastic dependence to stronger conditions of dependence.