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) : 2253, period of time : 08-04-2012 - 05-23-2022

### Match total

Average per match E = 2.63, variance V = 2.62, SD = 1.62, E/V = 1.01, Min = 0, Max = 10
P1 = 42.2%, draw = 24.6%, P2 = 33.2%, total 0 = 7.5%, over 2.5 = 50.0%, under 2.5 = 50.0%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.44, variance V = 1.67, SD = 1.29, 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 = 1.37, SD = 1.17, E/V = 0.87, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.26, variance V = 3.46, SD = 1.86, E/V = 0.07, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
06-29-2022
01:05:08 UTC