To the Heroes Glory!

# Mathematical statistics of goals - Football. Northern Ireland. Premier League

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

Quantity of matches (sample size) : 2238, period of time : 10-22-2011 - 10-16-2021

### Match total

Average per match E = 3.07, variance V = 3.06, SD = 1.75, E/V = 1.00, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.64, variance V = 1.92, SD = 1.38, E/V = 0.86, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.42, variance V = 1.67, SD = 1.29, E/V = 0.85, 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 = 0.22, variance V = 4.12, SD = 2.03, E/V = 0.05, Min = -8, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
10-24-2021
01:27:17 UTC