To the Heroes Glory!

# Mathematical statistics of goals - Football. UEFA. Champions League

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

Quantity of matches (sample size) : 2113, period of time : 02-12-2013 - 11-02-2022

### Match total

Average per match E = 2.80, variance V = 2.90, SD = 1.70, E/V = 0.97, Min = 0, Max = 12
P1 = 46.2%, draw = 23.4%, P2 = 30.4%, total 0 = 7.5%, over 2.5 = 53.2%, under 2.5 = 46.8%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.60, variance V = 2.03, SD = 1.42, E/V = 0.79, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.21, variance V = 1.55, SD = 1.25, E/V = 0.78, 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 = 0.39, variance V = 4.26, SD = 2.06, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
01-31-2023
14:47:52 UTC