Permanental random variables, ${M}$-matrices and $\alpha$-permanents
Michael B. Marcus, Jay Rosen
TL;DR
This paper investigates properties of permanental vectors, focusing on their representation as sums of independent gamma variables, and explores the mathematical relationships involving M-matrices and alpha-permanents.
Contribution
It introduces new insights into the structure of permanental vectors through their representation involving gamma distributions, M-matrices, and alpha-permanents.
Findings
Characterization of permanental vectors as sums of gamma variables
Connections between M-matrices and permanental processes
Properties of alpha-permanents in this context
Abstract
We explore some properties of a recent representation of permanental vectors which expresses them as sums of independent vectors with components that are independent gamma random variables.
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Taxonomy
TopicsRandom Matrices and Applications · Point processes and geometric inequalities · Mathematical Dynamics and Fractals