Mathematical statistics of goals - Football

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

Quantity of matches (sample size) : 77441, period of time : 02-23-2017 - 02-23-2021

Match total

Average per match E = 2.64, variance V = 2.74, SD = 1.66, E/V = 0.96, Min = 0, Max = 13
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 = 0.91, 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 = 1.17, variance V = 1.30, SD = 1.14, E/V = 0.90, 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 = 0.31, variance V = 3.09, SD = 1.76, E/V = 0.10, Min = -13, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)