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) : 7978, period of time : 08-16-2003 - 05-19-2024

### Match total

Average per match E = 2.72, variance V = 2.81, SD = 1.68, E/V = 0.97, Min = 0, Max = 11
P1 = 45.9%, draw = 24.6%, P2 = 29.6%, total 0 = 7.5%, over 2.5 = 51.5%, under 2.5 = 48.5%
Basic random variable ~ Poisson distribution: Pois(E)

### Home team goals

Average per match E = 1.54, variance V = 1.73, SD = 1.32, 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 = 1.18, variance V = 1.35, SD = 1.16, 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 = 3.35, SD = 1.83, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Page time:

Thursday
08-08-2024
15:59:47 UTC