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Mathematical statistics of goals - Football. UEFA. Champions League

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


Quantity of matches (sample size) : 1042, period of time : 07-26-2016 - 07-21-2021


Match total

Average per match E = 2.83, variance V = 2.80, SD = 1.67, E/V = 1.01, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.60, variance V = 1.99, SD = 1.41, E/V = 0.80, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.24, variance V = 1.54, SD = 1.24, E/V = 0.80, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.36, variance V = 4.26, SD = 2.06, E/V = 0.08, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Wednesday
07-28-2021
18:23:22 UTC