Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of ...

The record for most goals scored in a World Cup tournament is 172, but that could be broken by the time the group stages wrap ...

What are each national team’s chances of winning the World Cup? We’ve built a statistical model to try to answer that question rigorously. The model works in two steps: first we measure each team’s ...