To the Heroes Glory!

# Mathematical statistics of goals - Football. Ireland. Premier Division

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

Quantity of matches (sample size) : 1814, period of time : 09-21-2012 - 09-13-2022

### Match total

Average per match E = 2.61, variance V = 2.71, SD = 1.65, E/V = 0.96, Min = 0, Max = 11
P1 = 44.0%, draw = 22.9%, P2 = 33.1%, total 0 = 7.6%, over 2.5 = 48.4%, under 2.5 = 51.6%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.45, variance V = 1.91, SD = 1.38, E/V = 0.76, 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 = 1.16, variance V = 1.32, SD = 1.15, E/V = 0.88, 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 = 0.28, variance V = 3.76, SD = 1.94, E/V = 0.08, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
09-28-2022
08:36:49 UTC