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) : 1439, period of time : 05-10-2012 - 05-06-2022

### Match total

Average per match E = 2.51, variance V = 2.76, SD = 1.66, E/V = 0.91, Min = 0, Max = 9
P1 = 51.7%, draw = 23.9%, P2 = 24.4%, total 0 = 8.2%, over 2.5 = 44.2%, under 2.5 = 55.8%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.57, variance V = 1.86, SD = 1.37, E/V = 0.84, 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 = 0.94, variance V = 1.10, SD = 1.05, E/V = 0.86, 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 = 0.63, variance V = 3.16, SD = 1.78, E/V = 0.20, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
05-17-2022
05:25:09 UTC