To the Heroes Glory!

# Mathematical statistics of goals - Football. AFC. World Championship. Qualification

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

Quantity of matches (sample size) : 600, period of time : 09-06-2008 - 06-07-2022

### Match total

Average per match E = 2.82, variance V = 4.73, SD = 2.18, E/V = 0.60, Min = 0, Max = 15
P1 = 48.7%, draw = 20.0%, P2 = 31.3%, total 0 = 8.2%, over 2.5 = 48.8%, under 2.5 = 51.2%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.71, variance V = 4.21, SD = 2.05, E/V = 0.41, Min = 0, Max = 15
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.11, variance V = 2.24, SD = 1.50, E/V = 0.50, Min = 0, Max = 14
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 = 8.15, SD = 2.86, E/V = 0.07, Min = -14, Max = 15
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
03-26-2023
13:05:22 UTC