To the Heroes Glory!

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

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

Quantity of matches (sample size) : 4103, period of time : 08-09-2003 - 09-19-2021

### Match total

Average per match E = 2.63, variance V = 2.63, SD = 1.62, E/V = 1.00, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.45, variance V = 1.67, SD = 1.29, E/V = 0.87, 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 = 1.32, SD = 1.15, E/V = 0.89, 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 = 0.27, variance V = 3.37, SD = 1.84, E/V = 0.08, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
09-21-2021
23:38:57 UTC