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) : 1036, period of time : 12-09-2011 - 11-20-2021

### Match total

Average per match E = 2.26, variance V = 2.48, SD = 1.57, E/V = 0.91, Min = 0, Max = 8
P1 = 48.3%, draw = 25.9%, P2 = 25.9%, total 0 = 12.2%, over 2.5 = 39.9%, under 2.5 = 60.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.39, variance V = 1.55, SD = 1.25, E/V = 0.89, 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 = 0.88, variance V = 1.03, SD = 1.01, E/V = 0.85, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.51, variance V = 2.68, SD = 1.64, E/V = 0.19, Min = -5, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
12-07-2021
13:16:08 UTC