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) : 6967, period of time : 08-16-2003 - 11-28-2021

### Match total

Average per match E = 2.68, variance V = 2.79, 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 = 1.52, variance V = 1.71, SD = 1.31, E/V = 0.89, 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 = 1.16, variance V = 1.31, SD = 1.15, E/V = 0.88, 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 = 0.37, variance V = 3.25, SD = 1.80, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
12-05-2021
03:59:54 UTC