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) : 3763, period of time : 06-27-2012 - 06-25-2022

### Match total

Average per match E = 2.86, variance V = 2.84, SD = 1.68, E/V = 1.01, Min = 0, Max = 10
P1 = 51.3%, draw = 24.9%, P2 = 23.8%, total 0 = 6.3%, over 2.5 = 55.5%, under 2.5 = 44.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.71, variance V = 1.60, SD = 1.26, E/V = 1.07, 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 = 1.15, variance V = 1.19, SD = 1.09, E/V = 0.97, 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 = 0.56, variance V = 2.73, SD = 1.65, E/V = 0.21, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Tuesday
06-28-2022
11:53:04 UTC