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) : 2259, period of time : 09-22-2012 - 09-17-2022

### Match total

Average per match E = 3.03, variance V = 3.03, SD = 1.74, E/V = 1.00, Min = 0, Max = 11
P1 = 43.9%, draw = 20.6%, P2 = 35.6%, total 0 = 4.3%, over 2.5 = 58.3%, under 2.5 = 41.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.63, variance V = 1.92, SD = 1.39, E/V = 0.85, 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 = 1.40, variance V = 1.65, SD = 1.28, 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 = 0.23, variance V = 4.11, SD = 2.03, E/V = 0.06, Min = -8, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
09-28-2022
20:24:25 UTC