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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) : 686, period of time : 08-23-2016 - 07-11-2021


Match total

Average per match E = 2.85, variance V = 3.14, SD = 1.77, E/V = 0.91, Min = 0, Max = 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 = 1.67, variance V = 2.16, SD = 1.47, E/V = 0.77, 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 = 1.18, variance V = 1.38, SD = 1.17, 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 = 3.93, SD = 1.98, E/V = 0.12, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Friday
08-06-2021
03:16:57 UTC