Mathematical statistics of goals - Bandy

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

Quantity of matches (sample size) : 4769, period of time : 10-25-2011 - 04-03-2021

Match total

Average per match E = 8.92, variance V = 11.04, SD = 3.32, E/V = 0.81, Min = 1, Max = 25
P1 = 54.1%, draw = 11.0%, P2 = 34.9%, 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=37.32, p=0.81

Home team goals

Average per match E = 4.96, variance V = 8.59, SD = 2.93, E/V = 0.58, Min = 0, Max = 19
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.80, p=0.58 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 3.95, variance V = 5.98, SD = 2.45, E/V = 0.66, Min = 0, Max = 18
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.69, p=0.66 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 1.01, variance V = 18.10, SD = 4.25, E/V = 0.06, Min = -16, Max = 18
Basic random variable ~ Normal (Gauss) distribution: N(E, V)