To the Heroes Glory!

# Mathematical statistics of goals - Football. England. Cup

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

Quantity of matches (sample size) : 1122, period of time : 12-06-2013 - 09-16-2023

### Match total

Average per match E = 2.74, variance V = 2.78, SD = 1.67, E/V = 0.99, Min = 0, Max = 9
P1 = 44.4%, draw = 24.0%, P2 = 31.6%, total 0 = 7.3%, over 2.5 = 52.0%, under 2.5 = 48.0%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.55, variance V = 1.79, SD = 1.34, E/V = 0.87, 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 = 1.20, variance V = 1.35, SD = 1.16, E/V = 0.89, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.35, variance V = 3.49, SD = 1.87, E/V = 0.10, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
09-23-2023
08:34:37 UTC