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) : 373, period of time : 09-24-2013 - 08-25-2021

### Match total

Average per match E = 2.95, variance V = 3.52, SD = 1.88, E/V = 0.84, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.21, variance V = 1.50, SD = 1.22, E/V = 0.81, 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 = 1.74, variance V = 2.48, SD = 1.58, E/V = 0.70, 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 = -0.53, variance V = 4.44, SD = 2.11, E/V = -0.12, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
10-23-2021
05:48:40 UTC