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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) : 3805, period of time : 07-01-2014 - 05-22-2024


Match total

Average per match E = 2.68, variance V = 2.75, SD = 1.66, E/V = 0.98, Min = 0, Max = 11
P1 = 46.8%, draw = 23.7%, P2 = 29.5%, total 0 = 7.6%, over 2.5 = 50.4%, under 2.5 = 49.6%
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 = 1.55, variance V = 1.89, SD = 1.38, E/V = 0.82, 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 = 1.13, variance V = 1.31, SD = 1.15, E/V = 0.86, 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 = 0.43, variance V = 3.67, SD = 1.91, E/V = 0.12, 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
06-15-2024
20:48:05 UTC