To the Heroes Glory!

# Mathematical statistics of goals - Football. CONMEBOL. South American Cup

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

Quantity of matches (sample size) : 1166, period of time : 12-11-2013 - 10-28-2023

### Match total

Average per match E = 2.32, variance V = 2.51, SD = 1.58, E/V = 0.93, Min = 0, Max = 11
P1 = 48.5%, draw = 24.7%, P2 = 26.8%, total 0 = 11.0%, over 2.5 = 41.2%, under 2.5 = 58.8%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.41, variance V = 1.62, SD = 1.27, E/V = 0.87, 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 = 0.92, variance V = 1.11, SD = 1.06, E/V = 0.82, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.49, variance V = 2.96, SD = 1.72, E/V = 0.17, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
12-11-2023
10:12:48 UTC