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Mathematical statistics of goals - Football. Italy. Cup

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


Quantity of matches (sample size) : 389, period of time : 12-03-2013 - 08-16-2021


Match total

Average per match E = 2.81, variance V = 2.79, SD = 1.67, E/V = 1.01, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.86, variance V = 1.93, SD = 1.39, E/V = 0.96, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 0.96, variance V = 0.94, SD = 0.97, E/V = 1.01, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.90, variance V = 2.95, SD = 1.72, E/V = 0.30, Min = -4, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Italy. Cup: Gaus (Normal) and Difference PDF
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Saturday
10-23-2021
05:39:22 UTC