Mathematical statistics of goals - Football

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

Quantity of matches (sample size) : 62944, period of time : 09-17-2018 - 09-16-2021

Match total

Average per match E = 2.64, variance V = 2.77, SD = 1.67, E/V = 0.95, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.46, variance V = 1.63, SD = 1.28, E/V = 0.90, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.18, variance V = 1.34, SD = 1.16, E/V = 0.89, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.28, variance V = 3.16, SD = 1.78, E/V = 0.09, Min = -13, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)