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Mathematical statistics of goals - Football. AFC. Champions League

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


Quantity of matches (sample size) : 1367, period of time : 05-22-2012 - 05-01-2022


Match total

Average per match E = 2.77, variance V = 3.13, SD = 1.77, E/V = 0.88, Min = 0, Max = 10
P1 = 46.7%, draw = 26.5%, P2 = 26.9%, total 0 = 8.9%, over 2.5 = 53.1%, under 2.5 = 46.9%
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.62, variance V = 2.02, SD = 1.42, E/V = 0.80, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.16, variance V = 1.40, SD = 1.18, E/V = 0.82, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.46, variance V = 3.71, SD = 1.92, E/V = 0.12, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

AFC. Champions League: Gaus (Normal) and Difference PDF
Page time:

Saturday
05-21-2022
15:25:35 UTC