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Mathematical statistics of goals - Football. CONMEBOL. Libertadores Cup

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


Quantity of matches (sample size) : 1465, period of time : 01-24-2012 - 09-29-2021


Match total

Average per match E = 2.54, variance V = 2.75, SD = 1.66, E/V = 0.92, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.60, variance V = 1.88, SD = 1.37, E/V = 0.85, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 0.94, variance V = 1.09, SD = 1.04, E/V = 0.87, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.66, variance V = 3.17, SD = 1.78, E/V = 0.21, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CONMEBOL. Libertadores Cup: Gaus (Normal) and Difference PDF
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Monday
10-25-2021
05:22:17 UTC