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) : 192, period of time : 06-11-2010 - 07-15-2018

### Match total

Average per match E = 2.46, variance V = 2.79, SD = 1.67, E/V = 0.88, Min = 0, Max = 8
P1 = 37.0%, draw = 25.5%, P2 = 37.5%, total 0 = 10.4%, over 2.5 = 46.9%, under 2.5 = 53.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.24, variance V = 1.56, SD = 1.25, E/V = 0.80, 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 = 1.21, variance V = 1.39, SD = 1.18, E/V = 0.87, 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 = 0.03, variance V = 3.11, SD = 1.76, E/V = 0.01, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
12-07-2021
13:19:09 UTC