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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) : 1312, period of time : 09-24-2016 - 05-28-2024


Match total

Average per match E = 2.92, variance V = 3.02, SD = 1.74, E/V = 0.97, Min = 0, Max = 10
P1 = 40.5%, draw = 24.4%, P2 = 35.1%, total 0 = 6.5%, over 2.5 = 55.5%, under 2.5 = 44.5%
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 = 1.53, variance V = 1.85, SD = 1.36, 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 = 1.39, variance V = 1.65, SD = 1.28, E/V = 0.84, 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 = 0.15, variance V = 3.97, SD = 1.99, 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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Sunday
10-18-2026
00:46:28 UTC