To the Heroes Glory!

# Mathematical statistics of goals - Football. Wales. Premier League

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

Quantity of matches (sample size) : 1906, period of time : 08-17-2012 - 05-14-2022

### Match total

Average per match E = 3.12, variance V = 3.70, SD = 1.92, E/V = 0.84, Min = 0, Max = 12
P1 = 44.5%, draw = 20.8%, P2 = 34.7%, total 0 = 5.8%, over 2.5 = 58.9%, under 2.5 = 41.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.69, variance V = 2.34, SD = 1.53, E/V = 0.72, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.43, variance V = 2.02, SD = 1.42, E/V = 0.71, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.26, variance V = 5.01, SD = 2.24, E/V = 0.05, Min = -12, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
06-28-2022
12:32:17 UTC