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) : 1475, period of time : 10-11-2013 - 06-03-2023

### Match total

Average per match E = 2.97, variance V = 2.88, SD = 1.70, E/V = 1.03, Min = 0, Max = 10
P1 = 45.6%, draw = 23.3%, P2 = 31.2%, total 0 = 5.2%, over 2.5 = 58.9%, under 2.5 = 41.1%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.63, variance V = 1.63, SD = 1.28, E/V = 1.00, 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 = 1.35, variance V = 1.45, 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 = 3.28, SD = 1.81, E/V = 0.09, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Monday
09-25-2023
12:48:05 UTC