To the Heroes Glory!

# Mathematical statistics of goals - Football. Olympic Games

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

Quantity of matches (sample size) : 128, period of time : 08-07-2008 - 08-07-2021

### Match total

Average per match E = 2.64, variance V = 4.20, SD = 2.05, E/V = 0.63, Min = 0, Max = 10
P1 = 43.8%, draw = 31.3%, P2 = 25.0%, total 0 = 12.5%, over 2.5 = 44.5%, under 2.5 = 55.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.48, variance V = 2.39, SD = 1.55, E/V = 0.62, 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 = 1.16, variance V = 1.93, SD = 1.39, E/V = 0.60, 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 = 0.33, variance V = 4.44, SD = 2.11, E/V = 0.07, Min = -8, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
06-28-2022
23:53:32 UTC