To the Heroes Glory!

# Mathematical statistics of goals - Football. Germany. Cup

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

Quantity of matches (sample size) : 468, period of time : 09-24-2013 - 08-14-2023

### Match total

Average per match E = 3.02, variance V = 3.38, SD = 1.84, E/V = 0.90, Min = 0, Max = 12
P1 = 29.3%, draw = 25.4%, P2 = 45.3%, total 0 = 6.6%, over 2.5 = 55.8%, under 2.5 = 44.2%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.25, variance V = 1.56, SD = 1.25, E/V = 0.80, 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 = 2.49, 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 = -0.52, variance V = 4.72, SD = 2.17, E/V = -0.11, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
09-28-2023
12:15:00 UTC