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) : 670, period of time : 02-29-2020 - 03-19-2023

### Match total

Average per match E = 3.19, variance V = 3.37, SD = 1.84, E/V = 0.95, Min = 0, Max = 10
P1 = 42.2%, draw = 19.3%, P2 = 38.5%, total 0 = 4.6%, over 2.5 = 61.3%, under 2.5 = 38.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.67, variance V = 2.31, SD = 1.52, E/V = 0.72, 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 = 1.52, variance V = 1.94, SD = 1.39, E/V = 0.78, 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 = 0.15, variance V = 5.13, SD = 2.26, E/V = 0.03, Min = -8, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
03-26-2023
16:24:46 UTC