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Mathematical statistics of goals - Football. World Championship

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


Quantity of matches (sample size) : 192, period of time : 06-12-2014 - 12-18-2022


Match total

Average per match E = 2.59, variance V = 3.12, SD = 1.77, E/V = 0.83, Min = 0, Max = 8
P1 = 40.6%, draw = 24.0%, P2 = 35.4%, total 0 = 10.4%, over 2.5 = 49.0%, under 2.5 = 51.0%
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.37, variance V = 1.77, SD = 1.33, E/V = 0.77, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.22, variance V = 1.44, SD = 1.20, E/V = 0.85, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.15, variance V = 3.30, SD = 1.82, E/V = 0.05, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

World Championship: Gaus (Normal) and Difference PDF
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Friday
11-06-2026
06:11:20 UTC