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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) : 365, period of time : 04-02-2014 - 06-05-2023


Match total

Average per match E = 2.93, variance V = 3.60, SD = 1.90, E/V = 0.81, Min = 0, Max = 11
P1 = 55.6%, draw = 23.6%, P2 = 20.8%, total 0 = 6.3%, over 2.5 = 54.0%, under 2.5 = 46.0%
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 = 2.49, SD = 1.58, E/V = 0.77, 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 = 1.01, variance V = 1.86, SD = 1.36, E/V = 0.54, 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 = 0.92, variance V = 5.08, SD = 2.25, E/V = 0.18, 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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Thursday
03-28-2024
11:23:55 UTC