To the Heroes Glory!

# Mathematical statistics of goals - Football. Austria. Bundesliga

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

Quantity of matches (sample size) : 1700, period of time : 09-28-2013 - 09-24-2023

### Match total

Average per match E = 2.95, variance V = 3.02, SD = 1.74, E/V = 0.98, Min = 0, Max = 10
P1 = 42.7%, draw = 23.9%, P2 = 33.4%, total 0 = 6.0%, over 2.5 = 56.2%, under 2.5 = 43.8%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.59, variance V = 1.90, SD = 1.38, E/V = 0.84, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.36, variance V = 1.65, SD = 1.28, E/V = 0.83, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.23, variance V = 4.07, SD = 2.02, E/V = 0.06, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
09-25-2023
13:26:47 UTC