To the Heroes Glory!

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

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

Quantity of matches (sample size) : 1895, period of time : 07-13-2012 - 12-12-2021

### Match total

Average per match E = 2.57, variance V = 2.69, SD = 1.64, E/V = 0.96, Min = 0, Max = 10
P1 = 42.5%, draw = 24.9%, P2 = 32.6%, total 0 = 8.2%, over 2.5 = 46.5%, under 2.5 = 53.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.41, variance V = 1.76, SD = 1.33, E/V = 0.80, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.16, variance V = 1.45, SD = 1.21, E/V = 0.80, 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 = 0.26, variance V = 3.74, SD = 1.93, E/V = 0.07, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
06-28-2022
23:49:17 UTC