To the Heroes Glory!

# Mathematical statistics of goals - Football. Luxembourg. National Division

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

Quantity of matches (sample size) : 558, period of time : 02-29-2020 - 09-18-2022

### Match total

Average per match E = 3.14, variance V = 3.25, SD = 1.80, E/V = 0.97, Min = 0, Max = 10
P1 = 42.5%, draw = 20.3%, P2 = 37.3%, total 0 = 4.5%, over 2.5 = 60.6%, under 2.5 = 39.4%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.65, variance V = 2.26, SD = 1.50, E/V = 0.73, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.49, variance V = 1.92, SD = 1.39, E/V = 0.77, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.16, variance V = 5.11, SD = 2.26, E/V = 0.03, Min = -8, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
09-28-2022
20:20:03 UTC