Mathematical statistics of goals - Football

Graphs of sample (in blue) and basic random variables (probability density)

Quantity of matches (sample size) : 90890, period of time : 07-10-2015 - 07-10-2020

Match total

Average per match E = 2.63, variance V = 2.73, SD = 1.65, E/V = 0.96, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.48, variance V = 1.62, SD = 1.27, E/V = 0.92, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.14, variance V = 1.27, SD = 1.13, E/V = 0.90, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.34, variance V = 3.04, SD = 1.74, E/V = 0.11, Min = -12, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)