School of Mathematical Sciences

Cumulants and L-cumulants spaces menu

Cumulants and L-cumulants spaces

Speaker: 
Piotr ZwiernikDepartment of Statistics, University of Warwick
Date/Time: 
Thu, 18/11/2010 - 16:30
Room: 
M203
Seminar series: 

In this talk I will first introduce cumulants which form a
convenient language to describe and approximate probability 
distributions.  A rich combinatorial structure of cumulants
helps to understand them better. The combinatorial version
of the definition of cumulants gives also a direct
generalization to L-cumulants. Without going to much into
technical details I will try to show how L-cumulants can be
used in the analysis of certain statistical models. 

Our example focuses on phylogenetic tree models which are
graphical models with hidden data. I will also mention some
links with free probability.