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) : 1250, period of time : 08-21-2013 - 05-06-2023

### Match total

Average per match E = 2.78, variance V = 3.14, SD = 1.77, E/V = 0.88, Min = 0, Max = 10
P1 = 46.6%, draw = 26.3%, P2 = 27.1%, total 0 = 8.6%, 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 = 2.05, SD = 1.43, E/V = 0.78, 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 = 1.17, variance V = 1.44, SD = 1.20, E/V = 0.81, 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 = 3.85, SD = 1.96, E/V = 0.12, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
05-30-2023
04:15:36 UTC