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Mathematical statistics of goals - Football. UEFA. Europe Championship

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


Quantity of matches (sample size) : 164, period of time : 06-07-2008 - 07-11-2021


Match total

Average per match E = 2.38, variance V = 2.26, SD = 1.50, E/V = 1.05, Min = 0, Max = 7
P1 = 37.8%, draw = 27.4%, P2 = 34.8%, total 0 = 8.5%, over 2.5 = 40.2%, under 2.5 = 59.8%
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.24, variance V = 1.30, SD = 1.14, E/V = 0.95, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.14, variance V = 1.20, SD = 1.10, E/V = 0.95, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.10, variance V = 2.74, SD = 1.65, E/V = 0.04, Min = -5, Max = 4
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. Europe Championship: Gaus (Normal) and Difference PDF
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Wednesday
03-22-2023
13:40:02 UTC