To the Heroes Glory!

# Mathematical statistics of goals - Football. France. Ligue 1

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

Quantity of matches (sample size) : 3682, period of time : 01-27-2013 - 01-15-2023

### Match total

Average per match E = 2.62, variance V = 2.63, SD = 1.62, E/V = 0.99, Min = 0, Max = 9
P1 = 44.2%, draw = 26.3%, P2 = 29.5%, total 0 = 7.7%, over 2.5 = 48.5%, under 2.5 = 51.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.48, variance V = 1.62, SD = 1.27, E/V = 0.91, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.14, variance V = 1.27, SD = 1.13, E/V = 0.90, 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 = 0.33, variance V = 3.13, SD = 1.77, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
01-29-2023
03:19:18 UTC