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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) : 404, period of time : 11-29-2019 - 03-31-2023


Match total

Average per match E = 2.15, variance V = 2.45, SD = 1.57, E/V = 0.88, Min = 0, Max = 9
P1 = 50.0%, draw = 27.0%, P2 = 23.0%, total 0 = 12.6%, over 2.5 = 35.4%, under 2.5 = 64.6%
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 = 1.37, variance V = 1.78, SD = 1.33, E/V = 0.77, Min = 0, Max = 8
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 = 0.78, variance V = 0.93, SD = 0.96, E/V = 0.85, Min = 0, Max = 7
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 = 0.58, variance V = 2.96, SD = 1.72, E/V = 0.20, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Saturday
04-01-2023
22:57:38 UTC