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Mathematical statistics of goals - Football. Russia. Cup

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


Quantity of matches (sample size) : 379, period of time : 10-30-2013 - 10-27-2021


Match total

Average per match E = 2.37, variance V = 2.67, SD = 1.63, E/V = 0.89, Min = 0, Max = 10
P1 = 33.5%, draw = 28.2%, P2 = 38.3%, total 0 = 11.9%, over 2.5 = 42.7%, under 2.5 = 57.3%
Basic random variable ~ Poisson distribution: Pois(E)

Russia. Cup: Poisson and Total PDF
Russia. Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.12, variance V = 1.36, SD = 1.17, E/V = 0.83, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Russia. Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.25, variance V = 1.75, SD = 1.32, E/V = 0.71, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Russia. Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = -0.13, variance V = 3.56, SD = 1.89, E/V = -0.04, Min = -10, Max = 5
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Russia. Cup: Gaus (Normal) and Difference PDF
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Sunday
12-05-2021
04:34:06 UTC