Tournament Table

Mathematical statistics of goals - Football. Germany. Bundesliga

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

Quantity of matches (sample size) : 3080, period of time : 08-22-2014 - 05-27-2024

Match total

Average per match E = 3.01, variance V = 2.98, SD = 1.73, E/V = 1.01, Min = 0, Max = 9
P1 = 44.9%, draw = 24.9%, P2 = 30.1%, total 0 = 6.0%, over 2.5 = 58.0%, under 2.5 = 42.0%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.69, variance V = 1.94, SD = 1.39, E/V = 0.87, 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 = 1.32, variance V = 1.50, SD = 1.23, E/V = 0.88, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.37, variance V = 3.91, SD = 1.98, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)