To the Heroes Glory!

# Mathematical statistics of goals - Football. CONCACAF. World Championship Q

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

Quantity of matches (sample size) : 326, period of time : 10-11-2008 - 03-31-2022

### Match total

Average per match E = 2.79, variance V = 4.03, SD = 2.01, E/V = 0.69, Min = 0, Max = 13
P1 = 51.8%, draw = 22.7%, P2 = 25.5%, total 0 = 8.3%, over 2.5 = 50.3%, under 2.5 = 49.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.66, variance V = 2.53, SD = 1.59, E/V = 0.66, 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 = 1.13, variance V = 2.81, SD = 1.68, E/V = 0.40, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.53, variance V = 6.64, SD = 2.58, E/V = 0.08, Min = -13, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
09-23-2023
15:26:05 UTC