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Mathematical statistics of goals - Football. UEFA. Europe Championship U21

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


Quantity of matches (sample size) : 460, period of time : 06-11-2011 - 09-12-2023


Match total

Average per match E = 2.92, variance V = 3.09, SD = 1.76, E/V = 0.95, Min = 0, Max = 11
P1 = 44.4%, draw = 18.9%, P2 = 36.7%, total 0 = 5.7%, over 2.5 = 54.8%, under 2.5 = 45.2%
Basic random variable ~ Poisson distribution: Pois(E)

UEFA. Europe Championship U21: Poisson and Total PDF
UEFA. Europe Championship U21: Poisson and Total CDF

Home team goals

Average per match E = 1.59, variance V = 2.74, SD = 1.65, E/V = 0.58, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europe Championship U21: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.33, variance V = 2.17, SD = 1.47, E/V = 0.61, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europe Championship U21: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.26, variance V = 6.74, SD = 2.60, E/V = 0.04, Min = -9, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. Europe Championship U21: Gaus (Normal) and Difference PDF
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Monday
09-25-2023
14:18:09 UTC