To the Heroes Glory!

# Mathematical statistics of goals - Football. UEFA. UEFA Cup

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

Quantity of matches (sample size) : 717, period of time : 07-19-2007 - 05-20-2009

### Match total

Average per match E = 2.65, variance V = 2.74, SD = 1.66, E/V = 0.97, Min = 0, Max = 9
P1 = 44.8%, draw = 25.7%, P2 = 29.6%, total 0 = 7.1%, over 2.5 = 48.5%, under 2.5 = 51.5%
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.55, variance V = 1.97, SD = 1.40, E/V = 0.79, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.10, variance V = 1.30, SD = 1.14, E/V = 0.85, 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 = 0.45, variance V = 3.81, SD = 1.95, E/V = 0.12, Min = -8, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Sunday
12-03-2023
21:26:04 UTC