To the Heroes Glory!

# Mathematical statistics of goals - Ice Hockey. IIHF. Champions League (FT)

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

Quantity of matches (sample size) : 1095, period of time : 08-21-2014 - 01-17-2023

### Match total

Average per match E = 5.35, variance V = 5.28, SD = 2.30, E/V = 1.01, Min = 0, Max = 12
P1 = 48.1%, draw = 18.1%, P2 = 33.8%, total 0 = 0.5%, over 2.5 = 89.7%, under 2.5 = 10.3%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 2.91, variance V = 3.51, SD = 1.87, E/V = 0.83, 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 = 2.44, variance V = 2.94, SD = 1.71, E/V = 0.83, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.48, variance V = 7.63, SD = 2.76, E/V = 0.06, Min = -10, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
01-31-2023
14:46:18 UTC