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) : 2272, period of time : 09-21-2013 - 09-18-2023

### Match total

Average per match E = 3.00, variance V = 3.00, SD = 1.73, E/V = 1.00, Min = 0, Max = 10
P1 = 44.2%, draw = 20.2%, P2 = 35.6%, total 0 = 4.7%, over 2.5 = 57.9%, under 2.5 = 42.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.63, variance V = 1.91, SD = 1.38, E/V = 0.85, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.38, variance V = 1.65, SD = 1.28, E/V = 0.84, 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 = 0.25, variance V = 4.12, SD = 2.03, E/V = 0.06, Min = -6, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
09-23-2023
15:34:49 UTC