Tournament Table

Mathematical statistics of goals - Football. Wales. Premier League

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

Quantity of matches (sample size) : 1908, period of time : 03-15-2013 - 03-11-2023

Match total

Average per match E = 3.08, variance V = 3.62, SD = 1.90, E/V = 0.85, Min = 0, Max = 12
P1 = 45.3%, draw = 20.5%, P2 = 34.2%, total 0 = 5.9%, over 2.5 = 58.3%, under 2.5 = 41.7%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.67, variance V = 2.33, 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 = 1.41, variance V = 2.03, SD = 1.42, E/V = 0.70, 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 = 5.09, SD = 2.26, E/V = 0.05, Min = -12, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)