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Mathematical statistics of goals - Football. England. Cup

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


Quantity of matches (sample size) : 909, period of time : 12-06-2013 - 05-15-2021


Match total

Average per match E = 2.71, variance V = 2.80, SD = 1.67, E/V = 0.97, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.53, variance V = 1.78, SD = 1.34, E/V = 0.86, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.19, variance V = 1.40, SD = 1.18, E/V = 0.85, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.34, variance V = 3.56, SD = 1.89, E/V = 0.10, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

England. Cup: Gaus (Normal) and Difference PDF
Page time:

Saturday
10-23-2021
05:35:37 UTC