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

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


Quantity of matches (sample size) : 288, period of time : 08-20-2008 - 06-09-2021


Match total

Average per match E = 2.94, variance V = 4.23, SD = 2.06, E/V = 0.70, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.76, variance V = 2.77, SD = 1.66, E/V = 0.64, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.18, variance V = 3.06, SD = 1.75, E/V = 0.39, Min = 0, Max = 13
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.58, variance V = 7.42, SD = 2.72, E/V = 0.08, Min = -13, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CONCACAF. World Championship. Qualification: Gaus (Normal) and Difference PDF
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Friday
08-06-2021
04:32:43 UTC