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Mathematical statistics of goals - Football. Belgium. Pro League

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


Quantity of matches (sample size) : 3077, period of time : 10-15-2011 - 10-03-2021


Match total

Average per match E = 2.91, variance V = 2.82, SD = 1.68, E/V = 1.03, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

Belgium. Pro League: Poisson and Total PDF
Belgium. Pro League: Poisson and Total CDF

Home team goals

Average per match E = 1.63, variance V = 1.69, SD = 1.30, E/V = 0.97, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Belgium. Pro League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.28, variance V = 1.35, SD = 1.16, E/V = 0.94, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Belgium. Pro League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.35, variance V = 3.26, SD = 1.81, E/V = 0.11, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Belgium. Pro League: Gaus (Normal) and Difference PDF
Page time:

Friday
10-22-2021
12:57:05 UTC