To the Heroes Glory!

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

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

Quantity of matches (sample size) : 6403, period of time : 08-16-2003 - 07-04-2020

### Match total

Average per match E = 2.68, variance V = 2.77, SD = 1.67, E/V = 0.96, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.53, variance V = 1.70, SD = 1.30, E/V = 0.90, 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 = 1.14, variance V = 1.29, SD = 1.14, E/V = 0.89, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.39, variance V = 3.21, SD = 1.79, E/V = 0.12, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
07-05-2020
12:23:45 UTC