Zonoids, Linear Dependence, and Size-Biased Distributions on the Simplex∗

@inproceedings{DallAglio2003ZonoidsLD,
  title={Zonoids, Linear Dependence, and Size-Biased Distributions on the Simplex∗},
  author={Marco Dall’Aglio and Marco Scarsini},
  year={2003}
}
The zonoid of a d-dimensional random vector is used as a tool for measuring linear dependence among its components. A preorder of linear dependence is defined through inclusion of the zonoids. The zonoid of a random vector does not characterize its distribution, but it characterizes the size biased distribution of its compositional variables. This fact will… CONTINUE READING