To the Heroes Glory!

# Mathematical statistics of goals - Football. Israel. Ligat Ha'Al

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

Quantity of matches (sample size) : 2424, period of time : 12-05-2011 - 12-04-2021

### Match total

Average per match E = 2.43, variance V = 2.39, SD = 1.55, E/V = 1.02, Min = 0, Max = 10
P1 = 40.4%, draw = 27.1%, P2 = 32.5%, total 0 = 9.7%, over 2.5 = 44.3%, under 2.5 = 55.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.31, variance V = 1.43, SD = 1.20, E/V = 0.91, 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 = 1.12, variance V = 1.18, SD = 1.09, E/V = 0.95, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.19, variance V = 2.84, SD = 1.69, E/V = 0.07, Min = -5, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
12-07-2021
21:57:21 UTC