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) : 254, period of time : 08-12-2014 - 07-31-2020

### Match total

Average per match E = 2.74, variance V = 2.95, SD = 1.72, E/V = 0.93, Min = 0, Max = 8
P1 = 43.7%, draw = 30.7%, P2 = 25.6%, total 0 = 8.7%, over 2.5 = 50.8%, under 2.5 = 49.2%
Basic random variable ~ Poisson distribution: Pois(E)

### Home team goals

Average per match E = 1.56, variance V = 1.63, SD = 1.28, E/V = 0.95, 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 = 1.18, variance V = 1.11, SD = 1.06, E/V = 1.06, 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 = 0.37, variance V = 2.54, SD = 1.59, E/V = 0.15, Min = -3, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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Thursday
08-08-2024
16:49:15 UTC