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Mathematical statistics of goals - Football. CONMEBOL. America Cup

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


Quantity of matches (sample size) : 138, period of time : 07-02-2011 - 07-10-2021


Match total

Average per match E = 2.37, variance V = 3.23, SD = 1.80, E/V = 0.73, Min = 0, Max = 8
P1 = 44.2%, draw = 31.9%, P2 = 23.9%, total 0 = 15.2%, over 2.5 = 42.8%, under 2.5 = 57.2%
Basic random variable ~ Poisson distribution: Pois(E)

CONMEBOL. America Cup: Poisson and Total PDF
CONMEBOL. America Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.38, variance V = 1.97, SD = 1.40, E/V = 0.70, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CONMEBOL. America Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 0.99, variance V = 1.45, SD = 1.21, E/V = 0.68, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CONMEBOL. America Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.38, variance V = 3.63, SD = 1.90, E/V = 0.11, Min = -7, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CONMEBOL. America Cup: Gaus (Normal) and Difference PDF
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Monday
12-05-2022
05:15:25 UTC