To the Heroes Glory!

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

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

Quantity of matches (sample size) : 1358, period of time : 10-22-2012 - 08-25-2022

### Match total

Average per match E = 2.77, variance V = 3.11, SD = 1.76, E/V = 0.89, Min = 0, Max = 10
P1 = 46.5%, draw = 26.6%, P2 = 27.0%, total 0 = 8.9%, over 2.5 = 53.0%, under 2.5 = 47.0%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.61, variance V = 2.00, SD = 1.42, E/V = 0.81, Min = 0, Max = 9
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 = 1.41, SD = 1.19, E/V = 0.82, 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 = 0.45, variance V = 3.72, SD = 1.93, E/V = 0.12, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
10-03-2022
21:04:33 UTC