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Mathematical statistics of goals - Football. CAF. Champions League

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


Quantity of matches (sample size) : 185, period of time : 11-29-2019 - 07-17-2021


Match total

Average per match E = 2.08, variance V = 2.10, SD = 1.45, E/V = 0.99, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.32, variance V = 1.52, SD = 1.23, E/V = 0.87, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 0.76, variance V = 0.83, SD = 0.91, E/V = 0.92, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.56, variance V = 2.60, SD = 1.61, E/V = 0.22, Min = -5, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

CAF. Champions League: Gaus (Normal) and Difference PDF
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Friday
08-06-2021
03:02:15 UTC