To the Heroes Glory!

Mathematical statistics of goals - Bandy

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


Quantity of matches (sample size) : 5321, period of time : 10-12-2006 - 04-03-2021


Match total

Average per match E = 8.93, variance V = 11.79, SD = 3.43, E/V = 0.76, Min = 1, Max = 41
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=27.93, p=0.76

Pascal and Total PDF - Bandy
Pascal and Total CDF - Bandy

Home team goals

Average per match E = 5.01, variance V = 9.42, SD = 3.07, E/V = 0.53, Min = 0, Max = 41
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=5.68, p=0.53 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Pascal and Severyn distributions and Goals 1 PDF - Bandy

Away team goals

Average per match E = 3.92, variance V = 6.10, SD = 2.47, E/V = 0.64, Min = 0, Max = 18
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.06, p=0.64 and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Pascal and Severyn distributions and Goals 2 PDF - Bandy

Goals difference

Average per match E = 1.09, variance V = 19.26, SD = 4.39, E/V = 0.06, Min = -16, Max = 41
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Gaus (Normal) and Difference PDF - Bandy
Page time:

Thursday
06-24-2021
15:56:32 UTC