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Mathematical statistics of goals - Football. France. National Championship

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


Quantity of matches (sample size) : 350, period of time : 02-07-2020 - 05-15-2021


Match total

Average per match E = 2.26, variance V = 2.70, SD = 1.64, E/V = 0.84, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

France. National Championship: Poisson and Total PDF
France. National Championship: Poisson and Total CDF

Home team goals

Average per match E = 1.27, variance V = 1.36, SD = 1.17, E/V = 0.93, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. National Championship: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 0.99, variance V = 1.08, SD = 1.04, E/V = 0.92, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. National Championship: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.28, variance V = 2.18, SD = 1.48, E/V = 0.13, Min = -4, Max = 5
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. National Championship: Gaus (Normal) and Difference PDF
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Friday
08-06-2021
02:57:12 UTC