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Mathematical statistics of goals - Football. Kazakhstan. Premier League

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


Quantity of matches (sample size) : 1655, period of time : 11-02-2013 - 11-06-2022


Match total

Average per match E = 2.47, variance V = 2.61, SD = 1.62, E/V = 0.95, Min = 0, Max = 8
P1 = 47.3%, draw = 23.3%, P2 = 29.4%, total 0 = 8.7%, over 2.5 = 45.7%, under 2.5 = 54.3%
Basic random variable ~ Poisson distribution: Pois(E)

Kazakhstan. Premier League: Poisson and Total PDF
Kazakhstan. Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.44, variance V = 1.62, SD = 1.27, E/V = 0.89, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Kazakhstan. Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.04, variance V = 1.15, SD = 1.07, E/V = 0.90, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Kazakhstan. Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.40, variance V = 2.93, SD = 1.71, E/V = 0.14, Min = -5, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Kazakhstan. Premier League: Gaus (Normal) and Difference PDF
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Sunday
01-29-2023
09:56:50 UTC