To the Heroes Glory!

# Mathematical statistics of goals - Football. CONCACAF. Nations League

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

Quantity of matches (sample size) : 170, period of time : 09-05-2019 - 06-15-2022

### Match total

Average per match E = 3.06, variance V = 3.82, SD = 1.95, E/V = 0.80, Min = 0, Max = 10
P1 = 49.4%, draw = 20.6%, P2 = 30.0%, total 0 = 5.3%, over 2.5 = 54.7%, under 2.5 = 45.3%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.83, variance V = 3.44, SD = 1.86, E/V = 0.53, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.23, variance V = 1.83, SD = 1.35, E/V = 0.67, 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 = 0.60, variance V = 6.74, SD = 2.60, E/V = 0.09, Min = -6, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
07-03-2022
13:52:11 UTC