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Mathematical statistics of goals - Football. Germany. Cup

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


Quantity of matches (sample size) : 228, period of time : 08-19-2016 - 05-13-2021


Match total

Average per match E = 3.07, variance V = 3.28, SD = 1.81, E/V = 0.94, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

Germany. Cup: Poisson and Total PDF
Germany. Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.30, variance V = 1.42, SD = 1.19, E/V = 0.92, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Germany. Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.76, variance V = 2.20, SD = 1.48, E/V = 0.80, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Germany. Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = -0.46, variance V = 3.96, SD = 1.99, E/V = -0.12, Min = -6, Max = 5
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Germany. Cup: Gaus (Normal) and Difference PDF
Page time:

Wednesday
07-28-2021
18:14:23 UTC