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Mathematical statistics of goals - Football. Denmark. Super League

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


Quantity of matches (sample size) : 2174, period of time : 10-01-2012 - 09-30-2022


Match total

Average per match E = 2.74, variance V = 2.65, SD = 1.63, E/V = 1.03, Min = 0, Max = 9
P1 = 43.9%, draw = 25.8%, P2 = 30.3%, total 0 = 6.9%, over 2.5 = 52.2%, under 2.5 = 47.8%
Basic random variable ~ Poisson distribution: Pois(E)

Denmark. Super League: Poisson and Total PDF
Denmark. Super League: Poisson and Total CDF

Home team goals

Average per match E = 1.51, variance V = 1.56, SD = 1.25, E/V = 0.97, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Denmark. Super League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.23, variance V = 1.23, SD = 1.11, E/V = 1.00, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Denmark. Super League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.28, variance V = 2.94, SD = 1.71, E/V = 0.10, Min = -7, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Denmark. Super League: Gaus (Normal) and Difference PDF
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Monday
10-03-2022
20:16:57 UTC