Tournament Table

Mathematical statistics of goals - Football. Australia. A-League

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

Quantity of matches (sample size) : 1958, period of time : 08-27-2006 - 06-27-2021

Match total

Average per match E = 2.84, variance V = 2.90, SD = 1.70, E/V = 0.98, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.59, variance V = 1.65, SD = 1.28, E/V = 0.96, 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 = 1.33, SD = 1.15, E/V = 0.94, 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 = 0.33, variance V = 3.07, SD = 1.75, E/V = 0.11, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)