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Mathematical statistics of goals - Football. UEFA. Europa League

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


Quantity of matches (sample size) : 4463, period of time : 10-20-2011 - 10-19-2021


Match total

Average per match E = 2.65, variance V = 2.75, SD = 1.66, E/V = 0.96, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)

UEFA. Europa League: Poisson and Total PDF
UEFA. Europa League: Poisson and Total CDF

Home team goals

Average per match E = 1.53, variance V = 1.88, SD = 1.37, E/V = 0.81, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europa League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.12, variance V = 1.35, SD = 1.16, E/V = 0.83, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europa League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.41, variance V = 3.71, SD = 1.92, E/V = 0.11, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. Europa League: Gaus (Normal) and Difference PDF
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Saturday
10-23-2021
05:12:25 UTC