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Mathematical statistics of goals - Football. Germany. Bundesliga

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


Quantity of matches (sample size) : 1540, period of time : 08-26-2016 - 05-29-2021


Match total

Average per match E = 3.01, variance V = 2.93, SD = 1.71, E/V = 1.03, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.67, variance V = 1.91, SD = 1.38, E/V = 0.87, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.34, variance V = 1.53, SD = 1.24, E/V = 0.88, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.33, variance V = 3.95, SD = 1.99, E/V = 0.08, Min = -6, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Germany. Bundesliga: Gaus (Normal) and Difference PDF
Page time:

Wednesday
07-28-2021
16:19:44 UTC