To the Heroes Glory!

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

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

Quantity of matches (sample size) : 453, period of time : 08-01-2012 - 05-05-2022

### Match total

Average per match E = 2.89, variance V = 3.60, SD = 1.90, E/V = 0.80, Min = 0, Max = 11
P1 = 55.0%, draw = 22.1%, P2 = 23.0%, total 0 = 6.6%, over 2.5 = 53.2%, under 2.5 = 46.8%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.86, variance V = 2.42, SD = 1.56, E/V = 0.77, 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 = 1.04, variance V = 1.89, SD = 1.37, E/V = 0.55, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.82, variance V = 5.02, SD = 2.24, E/V = 0.16, Min = -11, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
05-21-2022
15:22:49 UTC