Mathematical statistics of goals - Ice Hockey (FT)

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

Quantity of matches (sample size) : 65403, period of time : 11-30-2012 - 11-30-2022

Match total

Average per match E = 5.50, variance V = 6.17, SD = 2.48, E/V = 0.89, Min = 0, Max = 28
P1 = 46.5%, draw = 19.8%, P2 = 33.7%, total 0 = 0.6%, over 2.5 = 89.9%, under 2.5 = 10.1%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 2.96, variance V = 3.80, SD = 1.95, E/V = 0.78, Min = 0, Max = 26
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 2.54, variance V = 3.18, SD = 1.78, E/V = 0.80, Min = 0, Max = 27
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.42, variance V = 7.79, SD = 2.79, E/V = 0.05, Min = -26, Max = 26
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)