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) : 439, period of time : 03-07-2012 - 10-29-2021

### Match total

Average per match E = 2.95, variance V = 3.74, SD = 1.93, E/V = 0.79, Min = 0, Max = 11
P1 = 54.7%, draw = 21.9%, P2 = 23.5%, total 0 = 6.4%, over 2.5 = 54.0%, under 2.5 = 46.0%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.88, variance V = 2.55, SD = 1.60, E/V = 0.74, 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 = 1.06, variance V = 1.92, SD = 1.39, 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 = 5.22, SD = 2.28, E/V = 0.16, Min = -11, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
12-07-2021
12:05:38 UTC