To the Heroes Glory!

# Mathematical statistics of goals - Football. UEFA. Europa League

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

Quantity of matches (sample size) : 4109, period of time : 04-04-2013 - 03-16-2023

### Match total

Average per match E = 2.64, variance V = 2.71, SD = 1.65, E/V = 0.97, Min = 0, Max = 11
P1 = 46.1%, draw = 24.0%, P2 = 30.0%, total 0 = 7.9%, over 2.5 = 49.5%, under 2.5 = 50.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.52, variance V = 1.85, SD = 1.36, E/V = 0.82, 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 = 1.12, variance V = 1.32, SD = 1.15, E/V = 0.85, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.40, variance V = 3.63, SD = 1.91, E/V = 0.11, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
03-24-2023
12:54:58 UTC