To the Heroes Glory!

# Mathematical statistics of goals - Football. Arab Cup

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

Quantity of matches (sample size) : 32, period of time : 11-30-2021 - 12-18-2021

### Match total

Average per match E = 2.41, variance V = 2.70, SD = 1.64, E/V = 0.89, Min = 0, Max = 6
P1 = 50.0%, draw = 25.0%, P2 = 25.0%, total 0 = 9.4%, over 2.5 = 43.8%, under 2.5 = 56.2%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.53, variance V = 2.45, SD = 1.57, E/V = 0.62, Min = 0, Max = 5
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 = 1.40, SD = 1.18, E/V = 0.62, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.66, variance V = 5.01, SD = 2.24, E/V = 0.13, Min = -5, Max = 5
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
10-06-2022
23:06:15 UTC