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) : 2114, period of time : 05-24-2014 - 05-08-2024

Match total

Average per match E = 2.81, variance V = 2.94, SD = 1.71, E/V = 0.96, Min = 0, Max = 12
P1 = 46.2%, draw = 23.5%, P2 = 30.3%, total 0 = 7.3%, over 2.5 = 53.3%, under 2.5 = 46.7%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.60, variance V = 2.00, SD = 1.41, E/V = 0.80, 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 = 1.21, variance V = 1.53, SD = 1.24, 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 = 0.39, variance V = 4.12, SD = 2.03, E/V = 0.10, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)