Decompositions of finite high-dimensional random arrays

Pandelis Dodos, Konstantinos Tyros, Petros Valettas

A $d$-dimensional random array on a nonempty set $I$ is a stochastic process $\mathbf{X}=⟨X_s:s\in \left(\genfrac{}{}{0ex}{}{I}{d}\right)⟩$ indexed by the set $\left(\genfrac{}{}{0ex}{}{I}{d}\right)$ of all $d$-elem…