To the Heroes Glory!

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

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

Quantity of matches (sample size) : 2992, period of time : 08-16-2013 - 05-26-2023

### Match total

Average per match E = 2.54, variance V = 2.56, SD = 1.60, E/V = 0.99, Min = 0, Max = 10
P1 = 44.7%, draw = 24.2%, P2 = 31.2%, total 0 = 7.7%, over 2.5 = 46.7%, under 2.5 = 53.3%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.42, variance V = 1.57, SD = 1.25, E/V = 0.90, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.12, variance V = 1.29, SD = 1.14, E/V = 0.86, 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 = 0.31, variance V = 3.18, SD = 1.78, E/V = 0.10, Min = -7, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
06-02-2023
22:09:40 UTC