On the Letac-Massam Conjecture on cones $Q_{A_{n}}$

Piotr Graczyk, Hideyuki Ishi, Salha Mamane, Hiroyuki Ochiai · Proceedings of the Japan Academy Series A Mathematical Sciences · 2017

We prove, for graphical models for nearest neighbour interactions, a conjecture stated by Letac and Massam in 2007. Our result is important in the analysis of Wishart distributions on cones related to graphical models and in its statistical applications.

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