To the Heroes Glory!

# Mathematical statistics of goals - Football. France. League Cup

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

Quantity of matches (sample size) : 285, period of time : 08-27-2013 - 07-31-2020

### Match total

Average per match E = 2.77, variance V = 2.91, SD = 1.71, E/V = 0.95, Min = 0, Max = 8
P1 = 44.6%, draw = 29.1%, P2 = 26.3%, total 0 = 8.1%, over 2.5 = 52.6%, under 2.5 = 47.4%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.56, variance V = 1.56, SD = 1.25, E/V = 1.00, 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 = 1.21, variance V = 1.13, SD = 1.06, E/V = 1.07, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.35, variance V = 2.48, SD = 1.57, E/V = 0.14, Min = -3, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
10-03-2022
21:11:29 UTC