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) : 1772, period of time : 10-16-2011 - 10-08-2021

### Match total

Average per match E = 2.63, variance V = 2.76, SD = 1.66, E/V = 0.95, Min = 0, Max = 11
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 = 1.18, variance V = 1.34, SD = 1.16, 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 = 0.27, variance V = 3.81, SD = 1.95, E/V = 0.07, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Friday
10-22-2021
11:55:33 UTC