Tournament Table

Mathematical statistics of goals - Football. Germany. Cup

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

Quantity of matches (sample size) : 470, period of time : 05-17-2014 - 04-03-2024

Match total

Average per match E = 3.06, variance V = 3.35, SD = 1.83, E/V = 0.91, Min = 0, Max = 12
P1 = 29.8%, draw = 26.4%, P2 = 43.8%, total 0 = 6.2%, over 2.5 = 56.4%, under 2.5 = 43.6%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.28, variance V = 1.52, SD = 1.23, E/V = 0.85, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.77, variance V = 2.50, SD = 1.58, E/V = 0.71, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = -0.49, variance V = 4.69, SD = 2.16, E/V = -0.10, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)