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) : 3071, period of time : 02-09-2013 - 02-05-2023

### Match total

Average per match E = 3.00, variance V = 3.00, SD = 1.73, E/V = 1.00, Min = 0, Max = 11
P1 = 44.9%, draw = 24.5%, P2 = 30.6%, total 0 = 6.1%, over 2.5 = 57.7%, under 2.5 = 42.3%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.68, variance V = 1.92, SD = 1.39, E/V = 0.87, 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 = 1.33, variance V = 1.53, SD = 1.24, E/V = 0.87, 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 = 3.90, SD = 1.97, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
02-08-2023
23:35:25 UTC