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) : 770, period of time : 09-24-2013 - 02-27-2022

### Match total

Average per match E = 2.90, variance V = 3.01, SD = 1.73, E/V = 0.96, Min = 0, Max = 10
P1 = 40.1%, draw = 23.5%, P2 = 36.4%, total 0 = 6.4%, over 2.5 = 55.8%, under 2.5 = 44.2%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.52, variance V = 2.02, SD = 1.42, E/V = 0.75, 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 = 1.61, SD = 1.27, E/V = 0.86, 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 = 0.14, variance V = 4.26, SD = 2.06, E/V = 0.03, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Thursday
05-19-2022
11:12:18 UTC