To the Heroes Glory!

# Mathematical statistics of goals - Football. USA. MLS

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

Quantity of matches (sample size) : 3871, period of time : 04-06-2013 - 03-26-2023

### Match total

Average per match E = 2.89, variance V = 2.88, SD = 1.70, E/V = 1.00, Min = 0, Max = 10
P1 = 51.2%, draw = 24.8%, P2 = 24.0%, total 0 = 6.2%, over 2.5 = 56.3%, under 2.5 = 43.7%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.73, variance V = 1.62, SD = 1.27, E/V = 1.06, 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 = 1.16, variance V = 1.20, SD = 1.10, E/V = 0.96, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.57, variance V = 2.77, SD = 1.66, E/V = 0.20, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Saturday
04-01-2023
22:56:55 UTC