To the Heroes Glory!

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

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

Quantity of matches (sample size) : 952, period of time : 08-20-2008 - 09-08-2021

### Match total

Average per match E = 2.83, variance V = 3.29, SD = 1.81, E/V = 0.86, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.59, variance V = 2.61, SD = 1.61, E/V = 0.61, 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 = 1.24, variance V = 2.03, SD = 1.43, E/V = 0.61, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.36, variance V = 5.99, SD = 2.45, E/V = 0.06, Min = -8, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
09-23-2021
14:35:38 UTC