Proc. Japan Acad. Ser. A Math. Sci. 93 (3), 16-21, (March 2017) DOI: 10.3792/pjaa.93.16
Piotr Graczyk, Hideyuki Ishi, Salha Mamane, Hiroyuki Ochiai
KEYWORDS: Laplace transform, power function, analysis on cones, Wishart distribution, Graphical model, 62E15, 42B10, 15B48, 62H99
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.