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Mathematical statistics of goals - Football. CONMEBOL. World Championship Q

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


Quantity of matches (sample size) : 284, period of time : 10-13-2007 - 06-09-2021


Match total

Average per match E = 2.70, variance V = 2.66, SD = 1.63, E/V = 1.02, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.68, variance V = 1.87, SD = 1.37, E/V = 0.89, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.02, variance V = 1.15, SD = 1.07, E/V = 0.89, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.65, variance V = 3.39, SD = 1.84, E/V = 0.19, Min = -4, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CONMEBOL. World Championship. Qualification: Gaus (Normal) and Difference PDF
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Wednesday
07-28-2021
17:46:31 UTC