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) : 193, period of time : 09-05-2019 - 03-27-2023

### Match total

Average per match E = 3.09, variance V = 3.79, SD = 1.95, E/V = 0.81, Min = 0, Max = 10
P1 = 46.1%, draw = 19.7%, P2 = 34.2%, total 0 = 4.7%, over 2.5 = 55.4%, under 2.5 = 44.6%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.77, variance V = 3.36, SD = 1.83, 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 = 1.32, variance V = 1.93, SD = 1.39, E/V = 0.69, 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 = 0.45, variance V = 6.78, SD = 2.60, E/V = 0.07, Min = -6, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
04-01-2023
22:26:14 UTC