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) : 408, period of time : 04-03-2013 - 03-15-2023

### Match total

Average per match E = 2.87, variance V = 3.71, SD = 1.93, E/V = 0.77, Min = 0, Max = 11
P1 = 55.2%, draw = 22.6%, P2 = 22.3%, total 0 = 7.1%, over 2.5 = 51.7%, under 2.5 = 48.3%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.85, variance V = 2.46, SD = 1.57, E/V = 0.75, 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 = 1.01, variance V = 1.90, SD = 1.38, E/V = 0.53, 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 = 0.84, variance V = 5.03, SD = 2.24, E/V = 0.17, Min = -11, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
03-23-2023
07:48:36 UTC