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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) : 1246, period of time : 05-22-2012 - 11-23-2021


Match total

Average per match E = 2.76, variance V = 3.04, SD = 1.74, E/V = 0.91, Min = 0, Max = 9
P1 = 47.1%, draw = 26.4%, P2 = 26.5%, total 0 = 8.9%, over 2.5 = 53.2%, under 2.5 = 46.8%
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 = 1.95, SD = 1.40, E/V = 0.83, 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 = 1.14, variance V = 1.33, SD = 1.15, E/V = 0.86, Min = 0, Max = 7
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 = 0.48, variance V = 3.51, SD = 1.87, E/V = 0.14, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Tuesday
12-07-2021
12:08:22 UTC