Tournament Table

Mathematical statistics of goals - Football. Northern Ireland. Premier League

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

Quantity of matches (sample size) : 2266, period of time : 08-11-2012 - 05-13-2022

Match total

Average per match E = 3.02, variance V = 3.04, SD = 1.74, E/V = 1.00, Min = 0, Max = 11
P1 = 43.7%, draw = 21.0%, P2 = 35.3%, total 0 = 4.5%, over 2.5 = 57.9%, under 2.5 = 42.1%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.63, variance V = 1.91, SD = 1.38, E/V = 0.85, 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 = 1.39, variance V = 1.65, SD = 1.28, E/V = 0.84, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.24, variance V = 4.08, SD = 2.02, E/V = 0.06, Min = -8, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)