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) : 2242, period of time : 03-30-2013 - 03-18-2023

### Match total

Average per match E = 2.65, variance V = 2.58, SD = 1.61, E/V = 1.03, Min = 0, Max = 10
P1 = 43.1%, draw = 23.4%, P2 = 33.5%, total 0 = 7.0%, over 2.5 = 50.5%, under 2.5 = 49.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.46, variance V = 1.70, SD = 1.30, E/V = 0.86, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.19, variance V = 1.40, SD = 1.18, E/V = 0.85, 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 = 0.27, variance V = 3.61, SD = 1.90, E/V = 0.08, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
03-24-2023
13:07:01 UTC