ON THE LETAC-MASSAM CONJECTURE ON CONES Q An

Salha Mamane (1) , Hideyuki Ishi (2) , Hiroyuki Ochiai (3)

1 WITS - University of the Witwatersrand [Johannesburg]
2 Graduate School of Mathematics [Nagoya]
3 Kyushu University

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.

Mots clés: Laplace transform; power function; analysis on cones; Wishart distribution; graphical model

Domaines: Statistiques [stat]

Salha Mamane, Hideyuki Ishi, Hiroyuki Ochiai. ON THE LETAC-MASSAM CONJECTURE ON CONES Q An. 2016. ⟨hal-01400974⟩