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Mathematical statistics of goals - Football. Austria. Bundesliga

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


Quantity of matches (sample size) : 950, period of time : 07-30-2016 - 07-25-2021


Match total

Average per match E = 2.98, variance V = 3.05, SD = 1.75, E/V = 0.98, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

Austria. Bundesliga: Poisson and Total PDF
Austria. Bundesliga: Poisson and Total CDF

Home team goals

Average per match E = 1.57, variance V = 1.89, SD = 1.37, E/V = 0.83, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Austria. Bundesliga: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.41, variance V = 1.73, SD = 1.32, E/V = 0.81, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Austria. Bundesliga: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.16, variance V = 4.18, SD = 2.04, E/V = 0.04, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Austria. Bundesliga: Gaus (Normal) and Difference PDF
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Friday
08-06-2021
03:49:28 UTC