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Mathematical statistics of goals - Football. World Championship U20

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


Quantity of matches (sample size) : 250, period of time : 07-29-2011 - 06-15-2019


Match total

Average per match E = 2.72, variance V = 3.44, SD = 1.86, E/V = 0.79, Min = 0, Max = 12
P1 = 37.6%, draw = 28.4%, P2 = 34.0%, total 0 = 10.4%, over 2.5 = 49.2%, under 2.5 = 50.8%
Basic random variable ~ Poisson distribution: Pois(E)

World Championship U20: Poisson and Total PDF
World Championship U20: Poisson and Total CDF

Home team goals

Average per match E = 1.46, variance V = 2.52, SD = 1.59, E/V = 0.58, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship U20: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.25, variance V = 1.67, SD = 1.29, E/V = 0.75, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship U20: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.21, variance V = 4.94, SD = 2.22, E/V = 0.04, Min = -6, Max = 12
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

World Championship U20: Gaus (Normal) and Difference PDF
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Friday
08-12-2022
23:46:29 UTC