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) : 7585, period of time : 08-16-2003 - 05-21-2023

### Match total

Average per match E = 2.69, variance V = 2.80, SD = 1.67, E/V = 0.96, Min = 0, Max = 11
P1 = 45.8%, draw = 24.7%, P2 = 29.5%, total 0 = 7.8%, 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 = 1.72, 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 = 1.17, variance V = 1.33, 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 = 0.36, variance V = 3.30, SD = 1.82, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
05-30-2023
10:05:36 UTC