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) : 2074, period of time : 07-29-2014 - 06-01-2024

Match total

Average per match E = 2.82, variance V = 2.92, SD = 1.71, E/V = 0.96, Min = 0, Max = 12
P1 = 46.2%, draw = 23.4%, P2 = 30.3%, total 0 = 7.2%, over 2.5 = 53.7%, under 2.5 = 46.3%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.60, variance V = 1.97, 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 = 1.22, 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 = 4.09, SD = 2.02, E/V = 0.09, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)