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Mathematical statistics of goals - Football. France. Cup

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


Quantity of matches (sample size) : 394, period of time : 01-04-2014 - 05-19-2021


Match total

Average per match E = 2.69, variance V = 3.15, SD = 1.78, E/V = 0.85, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.32, variance V = 1.55, SD = 1.25, E/V = 0.85, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.37, variance V = 1.81, SD = 1.35, E/V = 0.76, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = -0.05, variance V = 3.57, SD = 1.89, E/V = -0.01, Min = -9, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. Cup: Gaus (Normal) and Difference PDF
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Saturday
10-23-2021
04:24:36 UTC