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

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

Quantity of matches (sample size) : 115, period of time : 09-25-2019 - 11-03-2022

### Match total

Average per match E = 2.56, variance V = 2.93, SD = 1.71, E/V = 0.87, Min = 0, Max = 7
P1 = 42.6%, draw = 31.3%, P2 = 26.1%, total 0 = 11.3%, over 2.5 = 44.4%, under 2.5 = 55.6%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.52, variance V = 2.30, SD = 1.52, E/V = 0.66, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.03, variance V = 1.12, SD = 1.06, E/V = 0.92, 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 = 0.49, variance V = 3.92, SD = 1.98, E/V = 0.12, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
09-25-2023
13:49:44 UTC