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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) : 3086, period of time : 02-28-2014 - 02-24-2024


Match total

Average per match E = 3.00, variance V = 2.96, SD = 1.72, E/V = 1.01, Min = 0, Max = 9
P1 = 45.2%, draw = 24.9%, P2 = 29.9%, total 0 = 6.1%, over 2.5 = 57.8%, under 2.5 = 42.2%
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 = 1.69, variance V = 1.93, SD = 1.39, E/V = 0.88, 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 = 1.31, variance V = 1.48, SD = 1.22, E/V = 0.89, Min = 0, Max = 7
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 = 0.38, variance V = 3.85, SD = 1.96, E/V = 0.10, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Tuesday
02-27-2024
16:08:52 UTC