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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) : 1682, period of time : 08-30-2014 - 05-28-2024


Match total

Average per match E = 2.89, variance V = 2.96, SD = 1.72, E/V = 0.97, Min = 0, Max = 10
P1 = 42.2%, draw = 24.2%, P2 = 33.7%, total 0 = 6.5%, over 2.5 = 54.5%, under 2.5 = 45.5%
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 = 1.54, variance V = 1.82, SD = 1.35, E/V = 0.85, 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 1 PDF

Away team goals

Average per match E = 1.34, variance V = 1.62, SD = 1.27, E/V = 0.83, Min = 0, Max = 9
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 = 0.20, variance V = 3.90, SD = 1.97, E/V = 0.05, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Austria. Bundesliga: Gaus (Normal) and Difference PDF
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Thursday
11-21-2024
10:32:39 UTC