To the Heroes Glory!

# Mathematical statistics of goals - Football. CONMEBOL. Libertadores Cup

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

Quantity of matches (sample size) : 1440, period of time : 04-02-2013 - 03-17-2023

### Match total

Average per match E = 2.52, variance V = 2.85, SD = 1.69, E/V = 0.88, Min = 0, Max = 9
P1 = 51.9%, draw = 24.1%, P2 = 24.0%, total 0 = 8.8%, over 2.5 = 44.4%, under 2.5 = 55.6%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.59, variance V = 1.94, SD = 1.39, E/V = 0.82, 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 = 0.93, variance V = 1.10, SD = 1.05, E/V = 0.85, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.66, variance V = 3.23, SD = 1.80, E/V = 0.20, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
03-23-2023
08:55:32 UTC