To the Heroes Glory!

# Mathematical statistics of goals - Football. World Championship

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

Quantity of matches (sample size) : 256, period of time : 06-11-2010 - 12-18-2022

### Match total

Average per match E = 2.50, variance V = 2.97, SD = 1.72, E/V = 0.84, Min = 0, Max = 8
P1 = 39.1%, draw = 25.0%, P2 = 35.9%, total 0 = 10.9%, over 2.5 = 46.9%, under 2.5 = 53.1%
Basic random variable ~ Poisson distribution: Pois(E)

### Home team goals

Average per match E = 1.32, variance V = 1.78, SD = 1.33, E/V = 0.74, Min = 0, Max = 7
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 = 1.32, SD = 1.15, E/V = 0.90, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

### Goals difference

Average per match E = 0.14, variance V = 3.22, SD = 1.79, E/V = 0.04, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Page time:

Thursday
08-08-2024
18:04:39 UTC