To the Heroes Glory!

# Mathematical statistics of goals - Football. England. League Cup

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

Quantity of matches (sample size) : 923, period of time : 12-17-2013 - 11-01-2023

### Match total

Average per match E = 2.87, variance V = 2.95, SD = 1.72, E/V = 0.97, Min = 0, Max = 10
P1 = 39.8%, draw = 23.4%, P2 = 36.8%, total 0 = 6.3%, over 2.5 = 54.9%, under 2.5 = 45.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.49, variance V = 1.94, SD = 1.39, E/V = 0.77, 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 = 1.38, variance V = 1.63, SD = 1.28, E/V = 0.85, 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 = 0.11, variance V = 4.19, SD = 2.05, E/V = 0.03, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
12-03-2023
19:52:33 UTC