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

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


Quantity of matches (sample size) : 345, period of time : 03-28-2009 - 09-10-2019


Match total

Average per match E = 2.39, variance V = 2.57, SD = 1.60, E/V = 0.93, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.49, variance V = 1.71, SD = 1.31, E/V = 0.87, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 0.90, variance V = 1.06, SD = 1.03, E/V = 0.85, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.59, variance V = 2.96, SD = 1.72, E/V = 0.20, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CAF. World Championship. Qualification: Gaus (Normal) and Difference PDF
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Wednesday
07-28-2021
17:42:28 UTC