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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) : 434, period of time : 09-24-2013 - 10-19-2022


Match total

Average per match E = 2.98, variance V = 3.38, SD = 1.84, E/V = 0.88, Min = 0, Max = 12
P1 = 29.3%, draw = 26.0%, P2 = 44.7%, total 0 = 7.1%, over 2.5 = 54.8%, under 2.5 = 45.2%
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 = 1.25, variance V = 1.59, SD = 1.26, E/V = 0.79, Min = 0, Max = 7
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 = 1.73, variance V = 2.38, SD = 1.54, E/V = 0.73, Min = 0, Max = 12
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 = -0.48, variance V = 4.56, SD = 2.13, E/V = -0.11, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Germany. Cup: Gaus (Normal) and Difference PDF
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Monday
12-05-2022
05:45:54 UTC