To the Heroes Glory!

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

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

Quantity of matches (sample size) : 466, period of time : 09-06-2018 - 09-27-2022

### Match total

Average per match E = 2.43, variance V = 2.51, SD = 1.58, E/V = 0.97, Min = 0, Max = 8
P1 = 42.5%, draw = 25.8%, P2 = 31.8%, total 0 = 9.4%, over 2.5 = 42.3%, under 2.5 = 57.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.36, variance V = 1.64, SD = 1.28, E/V = 0.83, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.07, variance V = 1.20, SD = 1.10, E/V = 0.89, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.29, variance V = 3.18, SD = 1.78, E/V = 0.09, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
03-25-2023
07:32:11 UTC