On formulas for moments of the Wishart distributions as weighted generating functions of matchings - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2010

On formulas for moments of the Wishart distributions as weighted generating functions of matchings

Abstract

We consider the real and complex noncentral Wishart distributions. The moments of these distributions are shown to be expressed as weighted generating functions of graphs associated with the Wishart distributions. We give some bijections between sets of graphs related to moments of the real Wishart distribution and the complex noncentral Wishart distribution. By means of the bijections, we see that calculating these moments of a certain class the real Wishart distribution boils down to calculations for the case of complex Wishart distributions.
Nous considérons les lois Wishart non-centrale réel et complexe. Les moments sont décrits comme fonctions génératrices de graphes associées avec les lois Wishart. Nous donnons bijections entre ensembles de graphes relatifs aux moments des lois Wishart non-centrale réel et complexe. Au moyen de la bijection, nous voyons que le calcul des moments d'une certaine classe la loi Wishart réel deviennent le calcul de moments de loi Wishart complexes.
Fichier principal
Vignette du fichier
dmAN0172.pdf (317.25 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01186264 , version 1 (24-08-2015)

Identifiers

Cite

Yasuhide Numata, Satoshi Kuriki. On formulas for moments of the Wishart distributions as weighted generating functions of matchings. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 2010, San Francisco, United States. pp.953-964, ⟨10.46298/dmtcs.2836⟩. ⟨hal-01186264⟩

Collections

INSMI TDS-MACS
56 View
618 Download

Altmetric

Share

Gmail Facebook X LinkedIn More