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) : 459, period of time : 10-28-2014 - 05-25-2024

Match total

Average per match E = 3.07, variance V = 3.34, SD = 1.83, E/V = 0.92, Min = 0, Max = 12
P1 = 29.4%, draw = 25.7%, P2 = 44.9%, total 0 = 5.7%, over 2.5 = 56.6%, under 2.5 = 43.4%
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 = 0.84, 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 = 1.79, variance V = 2.51, 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 = -0.51, variance V = 4.73, SD = 2.17, E/V = -0.11, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)