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) : 560, period of time : 09-05-2009 - 06-07-2022

### Match total

Average per match E = 2.88, variance V = 4.89, SD = 2.21, E/V = 0.59, Min = 0, Max = 15
P1 = 49.3%, draw = 19.1%, P2 = 31.6%, total 0 = 7.9%, over 2.5 = 50.2%, under 2.5 = 49.8%
Basic random variable ~ Poisson distribution: Pois(E)

### Home team goals

Average per match E = 1.75, variance V = 4.39, SD = 2.10, E/V = 0.40, 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 = 1.13, variance V = 2.34, SD = 1.53, E/V = 0.48, 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 = 0.62, variance V = 8.57, SD = 2.93, E/V = 0.07, Min = -14, Max = 15
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Page time:

Sunday
08-04-2024
12:16:31 UTC