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) : 403, period of time : 09-24-2013 - 04-20-2022

### Match total

Average per match E = 2.96, variance V = 3.40, SD = 1.84, E/V = 0.87, Min = 0, Max = 12
P1 = 30.0%, draw = 25.8%, P2 = 44.2%, total 0 = 7.4%, over 2.5 = 54.1%, under 2.5 = 45.9%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.25, variance V = 1.51, SD = 1.23, E/V = 0.82, 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 = 1.71, variance V = 2.40, SD = 1.55, 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 = -0.47, variance V = 4.43, SD = 2.11, E/V = -0.11, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
05-19-2022
13:08:01 UTC