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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) : 1906, period of time : 03-15-2014 - 02-25-2024


Match total

Average per match E = 2.54, variance V = 2.77, SD = 1.67, E/V = 0.92, Min = 0, Max = 10
P1 = 40.7%, draw = 25.5%, P2 = 33.8%, total 0 = 9.2%, over 2.5 = 46.1%, under 2.5 = 53.9%
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 = 1.35, variance V = 1.66, SD = 1.29, 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 = 1.19, variance V = 1.50, SD = 1.23, E/V = 0.79, 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 = 0.17, variance V = 3.56, SD = 1.89, E/V = 0.05, Min = -7, 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
03-04-2024
23:56:45 UTC