Tournament Table

Mathematical statistics of goals - Football. UEFA. Champions League

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

Quantity of matches (sample size) : 1600, period of time : 09-27-2016 - 07-17-2024

Match total

Average per match E = 2.85, variance V = 2.95, SD = 1.72, E/V = 0.96, Min = 0, Max = 12
P1 = 45.3%, draw = 22.9%, P2 = 31.9%, total 0 = 7.1%, over 2.5 = 55.1%, under 2.5 = 44.9%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.59, variance V = 1.96, SD = 1.40, E/V = 0.81, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.25, variance V = 1.59, SD = 1.26, E/V = 0.79, 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 = 0.34, variance V = 4.15, SD = 2.04, E/V = 0.08, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)