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) : 1015, period of time : 12-06-2013 - 05-14-2022

### Match total

Average per match E = 2.73, variance V = 2.80, SD = 1.67, E/V = 0.97, Min = 0, Max = 9
P1 = 43.9%, draw = 24.7%, P2 = 31.3%, total 0 = 7.5%, over 2.5 = 50.9%, under 2.5 = 49.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.53, variance V = 1.77, SD = 1.33, 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 = 1.19, variance V = 1.37, SD = 1.17, E/V = 0.87, 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 = 0.34, variance V = 3.48, SD = 1.86, E/V = 0.10, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
09-28-2022
20:07:43 UTC