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Mathematical statistics of goals - Football. CAF. African Nations Cup

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


Quantity of matches (sample size) : 465, period of time : 01-10-2010 - 06-13-2022


Match total

Average per match E = 2.18, variance V = 2.51, SD = 1.58, E/V = 0.87, Min = 0, Max = 10
P1 = 44.3%, draw = 31.4%, P2 = 24.3%, total 0 = 12.3%, over 2.5 = 36.1%, under 2.5 = 63.9%
Basic random variable ~ Poisson distribution: Pois(E)

CAF. African Nations Cup: Poisson and Total PDF
CAF. African Nations Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.25, variance V = 1.20, SD = 1.10, E/V = 1.04, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CAF. African Nations Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 0.93, variance V = 1.28, SD = 1.13, E/V = 0.73, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CAF. African Nations Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.31, variance V = 2.47, SD = 1.57, E/V = 0.13, Min = -10, Max = 5
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CAF. African Nations Cup: Gaus (Normal) and Difference PDF
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Friday
03-24-2023
09:33:12 UTC