To the Heroes Glory!

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

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

Quantity of matches (sample size) : 1441, period of time : 02-01-2013 - 01-27-2023

### Match total

Average per match E = 2.94, variance V = 2.84, SD = 1.68, E/V = 1.04, Min = 0, Max = 10
P1 = 45.7%, draw = 23.0%, P2 = 31.3%, total 0 = 5.3%, over 2.5 = 58.0%, under 2.5 = 42.0%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.61, variance V = 1.62, SD = 1.27, E/V = 0.99, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.33, variance V = 1.43, SD = 1.20, E/V = 0.93, 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 = 0.28, variance V = 3.27, SD = 1.81, E/V = 0.09, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
01-29-2023
08:49:28 UTC