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) : 194, period of time : 06-11-2010 - 06-14-2022

### Match total

Average per match E = 2.44, variance V = 2.81, SD = 1.68, E/V = 0.87, Min = 0, Max = 8
P1 = 37.1%, draw = 25.8%, P2 = 37.1%, total 0 = 10.8%, over 2.5 = 46.4%, under 2.5 = 53.6%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.24, variance V = 1.55, SD = 1.24, 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 = 1.20, variance V = 1.39, SD = 1.18, E/V = 0.86, 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 = 0.04, variance V = 3.08, SD = 1.76, E/V = 0.01, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
10-03-2022
22:19:08 UTC