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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) : 373, period of time : 03-11-2014 - 06-05-2023


Match total

Average per match E = 2.92, variance V = 3.62, SD = 1.90, E/V = 0.80, Min = 0, Max = 11
P1 = 55.5%, draw = 23.9%, P2 = 20.6%, total 0 = 6.4%, over 2.5 = 53.4%, under 2.5 = 46.6%
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 = 1.91, variance V = 2.50, 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 = 1.00, variance V = 1.83, SD = 1.35, 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 = 0.91, variance V = 5.03, SD = 2.24, 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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Monday
03-04-2024
17:51:00 UTC