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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) : 1870, period of time : 11-30-2012 - 11-28-2022


Match total

Average per match E = 2.56, variance V = 2.69, SD = 1.64, E/V = 0.95, Min = 0, Max = 10
P1 = 41.8%, draw = 25.2%, P2 = 32.9%, total 0 = 8.5%, over 2.5 = 46.7%, under 2.5 = 53.3%
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 = 1.39, variance V = 1.71, SD = 1.31, E/V = 0.82, 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 = 1.17, 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 = 0.23, variance V = 3.63, SD = 1.90, E/V = 0.06, 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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Thursday
12-08-2022
05:37:51 UTC