Association arrays in assessing forms of dependencies between bivariate random variables.

@article{Karlin1983AssociationAI,
  title={Association arrays in assessing forms of dependencies between bivariate random variables.},
  author={Samuel Karlin},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1983},
  volume={80 2},
  pages={647-51}
}
  • Samuel Karlin
  • Published 1983 in
    Proceedings of the National Academy of Sciences…
The bivariate distribution of pairs of random variables (X,Y) is said to be associated with respect to the classes of functions [unk] and [unk] if the product-moment correlation r[Phi(X),Psi(Y)] >/= 0 for all Phi euro [unk] and Psi euro [unk]. In the case in which both [unk] = [unk] = [unk](*) consist of all increasing functions, then the bivariate distribution of (X,Y) is said to be positive quadrant dependent. To apply the concept to data, I examine the correlations for classes of extremal… CONTINUE READING