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Mathematical statistics of goals - Football. UEFA. World Championship. Qualification

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


Quantity of matches (sample size) : 804, period of time : 09-07-2012 - 06-05-2022


Match total

Average per match E = 2.91, variance V = 3.43, SD = 1.85, E/V = 0.85, Min = 0, Max = 10
P1 = 44.4%, draw = 20.5%, P2 = 35.1%, total 0 = 5.7%, over 2.5 = 51.1%, under 2.5 = 48.9%
Basic random variable ~ Poisson distribution: Pois(E)

UEFA. World Championship. Qualification: Poisson and Total PDF
UEFA. World Championship. Qualification: Poisson and Total CDF

Home team goals

Average per match E = 1.59, variance V = 2.67, SD = 1.64, E/V = 0.59, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. World Championship. Qualification: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.32, variance V = 2.35, SD = 1.53, E/V = 0.56, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. World Championship. Qualification: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.27, variance V = 6.62, SD = 2.57, E/V = 0.04, Min = -10, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. World Championship. Qualification: Gaus (Normal) and Difference PDF
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Friday
11-06-2026
06:11:47 UTC