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Mathematical statistics of goals - Football. CONCACAF. Champions League

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


Quantity of matches (sample size) : 371, period of time : 08-06-2014 - 05-02-2024


Match total

Average per match E = 2.97, variance V = 3.56, SD = 1.89, E/V = 0.83, Min = 0, Max = 11
P1 = 55.3%, draw = 23.5%, P2 = 21.3%, total 0 = 5.9%, over 2.5 = 55.5%, under 2.5 = 44.5%
Basic random variable ~ Poisson distribution: Pois(E)

CONCACAF. Champions League: Poisson and Total PDF
CONCACAF. Champions League: Poisson and Total CDF

Home team goals

Average per match E = 1.92, variance V = 2.48, SD = 1.58, E/V = 0.78, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CONCACAF. Champions League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.05, variance V = 1.90, SD = 1.38, E/V = 0.55, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

CONCACAF. Champions League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.88, variance V = 5.19, SD = 2.28, E/V = 0.17, Min = -11, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CONCACAF. Champions League: Gaus (Normal) and Difference PDF
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Friday
05-17-2024
11:13:00 UTC