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

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


Quantity of matches (sample size) : 1080, period of time : 08-16-2006 - 11-12-2020


Match total

Average per match E = 2.79, variance V = 3.15, SD = 1.78, E/V = 0.89, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.58, variance V = 2.64, SD = 1.63, E/V = 0.60, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.22, variance V = 1.86, SD = 1.37, E/V = 0.65, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.36, variance V = 5.86, SD = 2.42, E/V = 0.06, Min = -13, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. Europe Championship. Qualification: Gaus (Normal) and Difference PDF
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Wednesday
07-28-2021
16:12:42 UTC