  The English Premier League is well-known for being not only one of the most
popular professional sports leagues in the world, but also one of the toughest
competitions to predict. The first purpose of this research was to verify the
consistency between goal scoring in the English Premier League and the Poisson
process; specifically, the relationships between the number of goals scored in
a match and the Poisson distribution, the time between goals throughout the
course of a season and the exponential distribution, and the time location of
goals during football games and the continuous uniform distribution. We found
that the Poisson process and the three probability distributions accurately
describe Premier League goal scoring. In addition, Poisson regression was
utilized to predict outcomes for a Premier League season, using different sets
of season data and with a large number of simulations being involved. We
examined and compared various soccer metrics from our simulation results,
including an English club's chances of being the champions, finishing in the
top four and bottom three, and relegation points.
