Tournament Table

Mathematical statistics of goals - Football. Austria. Bundesliga

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

Quantity of matches (sample size) : 1680, period of time : 10-06-2012 - 10-03-2021

Match total

Average per match E = 2.99, variance V = 3.14, SD = 1.77, E/V = 0.95, Min = 0, Max = 10
P1 = 43.5%, draw = 23.8%, P2 = 32.7%, total 0 = 6.1%, over 2.5 = 57.0%, under 2.5 = 43.0%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.63, variance V = 1.99, SD = 1.41, E/V = 0.82, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.36, variance V = 1.70, SD = 1.30, E/V = 0.80, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.27, variance V = 4.22, SD = 2.05, E/V = 0.06, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)