Mathematical statistics of goals - Football

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 94222, period of time : 01-20-2015 - 01-20-2020

Match total

Average per match E = 2.62, variance V = 2.74, SD = 1.65, E/V = 0.96, Min = 0, Max = 12
Basic random variable - Poisson Distribution : Pois(E) and "sports" (special) Poisson distribution •••

Home team goals

Average per match E = 1.48, variance V = 1.62, SD = 1.27, E/V = 0.92, Min = 0, Max = 10
Basic random variable - Poisson Distribution : Pois(E) and "sports" (special) Poisson distribution •••

Away team goals

Average per match E = 1.14, variance V = 1.26, SD = 1.12, E/V = 0.90, Min = 0, Max = 12
Basic random variable - Poisson Distribution : Pois(E) and "sports" (special) Poisson distribution •••

Goals difference

Average per match E = 0.35, variance V = 3.02, SD = 1.74, E/V = 0.11, Min = -12, Max = 10
Basic random variable - Skellam Distribution : Pois(E1)-Pois(E2)