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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) : 1122, period of time : 12-06-2013 - 09-16-2023


Match total

Average per match E = 2.74, variance V = 2.78, SD = 1.67, E/V = 0.99, Min = 0, Max = 9
P1 = 44.4%, draw = 24.0%, P2 = 31.6%, total 0 = 7.3%, over 2.5 = 52.0%, under 2.5 = 48.0%
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 = 1.55, variance V = 1.79, SD = 1.34, E/V = 0.87, 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 = 1.20, variance V = 1.35, SD = 1.16, E/V = 0.89, 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 = 0.35, variance V = 3.49, SD = 1.87, 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
09-23-2023
08:34:37 UTC