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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) : 3563, period of time : 08-28-2014 - 07-11-2024


Match total

Average per match E = 2.69, variance V = 2.76, SD = 1.66, E/V = 0.97, Min = 0, Max = 11
P1 = 47.2%, draw = 23.6%, P2 = 29.2%, total 0 = 7.2%, over 2.5 = 50.2%, under 2.5 = 49.8%
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 = 1.57, variance V = 1.90, 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 = 1.12, variance V = 1.29, SD = 1.13, E/V = 0.87, 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 = 0.44, variance V = 3.62, SD = 1.90, 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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Sunday
12-22-2024
09:10:31 UTC