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Mathematical statistics of goals - Football. Ukraine. Premier League

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


Quantity of matches (sample size) : 1975, period of time : 03-03-2012 - 12-12-2021


Match total

Average per match E = 2.57, variance V = 2.67, SD = 1.63, E/V = 0.96, Min = 0, Max = 10
P1 = 42.4%, draw = 25.1%, P2 = 32.5%, total 0 = 8.2%, over 2.5 = 46.5%, under 2.5 = 53.5%
Basic random variable ~ Poisson distribution: Pois(E)

Ukrainian football (soccer) championship - Premier League: Poisson and Total PDF
Ukrainian football (soccer) championship - Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.41, variance V = 1.75, SD = 1.32, E/V = 0.81, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Ukrainian football (soccer) championship - Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.16, variance V = 1.45, SD = 1.20, E/V = 0.80, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Ukrainian football (soccer) championship - Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.25, variance V = 3.72, SD = 1.93, E/V = 0.07, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Ukrainian football (soccer) championship - Premier League: Gaus (Normal) and Difference PDF
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Monday
01-17-2022
09:22:52 UTC