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) : 1798, period of time : 03-07-2014 - 11-10-2023

### Match total

Average per match E = 2.60, variance V = 2.69, SD = 1.64, E/V = 0.96, Min = 0, Max = 11
P1 = 44.4%, draw = 22.9%, P2 = 32.7%, total 0 = 7.5%, over 2.5 = 47.8%, under 2.5 = 52.2%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.45, variance V = 1.94, SD = 1.39, E/V = 0.75, 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 = 1.15, variance V = 1.29, SD = 1.14, E/V = 0.89, 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 = 0.31, variance V = 3.78, SD = 1.94, E/V = 0.08, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
12-01-2023
15:33:35 UTC