Mathematical statistics of goals - Bandy

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

Quantity of matches (sample size) : 5101, period of time : 10-21-2007 - 04-03-2021

Match total

Average per match E = 8.91, variance V = 11.42, SD = 3.38, E/V = 0.78, Min = 1, Max = 29
P1 = 54.5%, draw = 10.7%, P2 = 34.8%, total 0 = 0.0%, over 2.5 = 98.8%, under 2.5 = 1.2%
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=31.76, p=0.78

Home team goals

Average per match E = 4.98, variance V = 8.96, SD = 2.99, E/V = 0.56, Min = 0, Max = 21
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.24, p=0.56 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 3.93, variance V = 6.05, SD = 2.46, E/V = 0.65, Min = 0, Max = 18
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.31, p=0.65 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 1.05, variance V = 18.60, SD = 4.31, E/V = 0.06, Min = -16, Max = 18
Basic random variable ~ Normal (Gauss) distribution: N(E, V)