To the Heroes Glory!

# Mathematical statistics of goals - Football. Germany. Bundesliga

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

Quantity of matches (sample size) : 3065, period of time : 10-16-2011 - 10-15-2021

### Match total

Average per match E = 2.96, variance V = 2.94, SD = 1.71, E/V = 1.01, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.65, variance V = 1.88, SD = 1.37, E/V = 0.88, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.31, variance V = 1.49, SD = 1.22, E/V = 0.88, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.35, variance V = 3.80, SD = 1.95, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
10-22-2021
12:20:09 UTC