To the Heroes Glory!

# Mathematical statistics of goals - Football. CAF. Champions League

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

Quantity of matches (sample size) : 255, period of time : 11-29-2019 - 10-24-2021

### Match total

Average per match E = 2.09, variance V = 2.08, SD = 1.44, E/V = 1.00, Min = 0, Max = 7
P1 = 50.2%, draw = 28.6%, P2 = 21.2%, total 0 = 12.5%, over 2.5 = 33.3%, under 2.5 = 66.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.36, variance V = 1.55, SD = 1.25, E/V = 0.88, 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 = 0.73, variance V = 0.77, SD = 0.88, E/V = 0.94, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.64, variance V = 2.58, SD = 1.61, E/V = 0.25, Min = -5, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
12-07-2021
12:00:02 UTC