# Mathematical statistics of goals - Bandy

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

Quantity of matches (sample size) : 4924, period of time : 10-13-2008 - 04-03-2021

### Match total

Average per match E = 8.92, variance V = 11.26, SD = 3.36, E/V = 0.79, Min = 1, Max = 29

P1 = 54.3%, draw = 10.8%, P2 = 34.9%, total 0 = 0.0%, over 2.5 = 98.9%, under 2.5 = 1.1%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=34.14, p=0.79

### Home team goals

Average per match E = 4.98, variance V = 8.83, SD = 2.97, E/V = 0.56, Min = 0, Max = 21

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.43, p=0.56 and authentic random variable ~ **Severyn distribition: Sever(E, V)** •••

### Away team goals

Average per match E = 3.95, variance V = 5.98, SD = 2.44, E/V = 0.66, Min = 0, Max = 18

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.67, p=0.66 and authentic random variable ~ **Severyn distribition: Sever(E, V)** •••

### Goals difference

Average per match E = 1.03, variance V = 18.36, SD = 4.28, E/V = 0.06, Min = -16, Max = 18

Basic random variable ~ Normal (Gauss) distribution: N(E, V)