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Trinomial trees, Markov chains, and qualifying odds for the World Cup

I have a couple of posts in the pipeline for my other website that explore a hypothetical merger between CONCACAF and CONMEBOL, and I started thinking about the probability of Caribbean countries qualifying for the World Cup from CONCACAF and how that might change in a larger 50-team region.  (With 30 associations, the Caribbean countries […]

Markov chain Monte Carlo simulation for 2006 WC

One application that I didn't mention in applied mathematics problems for soccer is the gaming industry.  Betting decisions and devising odds are two examples.  To this end, here is a simulation of match results at the 2006 World Cup using a Markov chain Monte Carlo (MCMC) algorithm.  I'm traveling from Florida to Arizona tomorrow so […]