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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) : 1533, period of time : 09-24-2016 - 06-02-2024


Match total

Average per match E = 2.50, variance V = 2.62, SD = 1.62, E/V = 0.96, Min = 0, Max = 10
P1 = 40.6%, draw = 25.4%, P2 = 33.9%, total 0 = 8.8%, over 2.5 = 45.5%, under 2.5 = 54.5%
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 = 1.33, variance V = 1.51, SD = 1.23, E/V = 0.88, 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 1 PDF

Away team goals

Average per match E = 1.18, variance V = 1.41, SD = 1.19, E/V = 0.84, 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 = 0.15, variance V = 3.21, SD = 1.79, E/V = 0.05, Min = -7, Max = 7
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
09-21-2026
16:59:26 UTC