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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) : 316, period of time : 11-29-2019 - 05-30-2022


Match total

Average per match E = 2.11, variance V = 2.18, SD = 1.48, E/V = 0.97, Min = 0, Max = 7
P1 = 49.4%, draw = 28.5%, P2 = 22.2%, total 0 = 13.0%, over 2.5 = 34.8%, under 2.5 = 65.2%
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 = 1.35, variance V = 1.56, SD = 1.25, E/V = 0.86, 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 = 0.81, SD = 0.90, E/V = 0.94, 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 = 0.59, variance V = 2.55, SD = 1.60, E/V = 0.23, Min = -5, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Tuesday
06-28-2022
15:08:59 UTC