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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) : 447, period of time : 01-04-2014 - 05-07-2022


Match total

Average per match E = 2.65, variance V = 3.11, SD = 1.76, E/V = 0.85, Min = 0, Max = 9
P1 = 35.4%, draw = 27.1%, P2 = 37.6%, total 0 = 8.5%, over 2.5 = 45.6%, under 2.5 = 54.4%
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 = 1.31, variance V = 1.52, SD = 1.23, E/V = 0.86, 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 = 1.35, variance V = 1.77, SD = 1.33, 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 = -0.04, variance V = 3.46, SD = 1.86, E/V = -0.01, Min = -9, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
10-03-2022
20:50:13 UTC