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) : 2437, period of time : 09-20-2016 - 05-27-2024

Match total

Average per match E = 3.07, variance V = 2.97, SD = 1.72, E/V = 1.03, Min = 0, Max = 9
P1 = 44.6%, draw = 24.9%, P2 = 30.5%, total 0 = 5.4%, over 2.5 = 59.2%, under 2.5 = 40.8%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.72, variance V = 1.97, SD = 1.40, 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 = 1.35, variance V = 1.54, SD = 1.24, 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 = 4.05, SD = 2.01, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)