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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) : 476, period of time : 02-07-2020 - 11-22-2021


Match total

Average per match E = 2.32, variance V = 2.71, SD = 1.65, E/V = 0.86, 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 = 1.31, variance V = 1.40, SD = 1.18, E/V = 0.94, 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 = 1.01, variance V = 1.16, SD = 1.08, E/V = 0.87, 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 = 0.30, variance V = 2.43, SD = 1.56, E/V = 0.12, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. National Championship: Gaus (Normal) and Difference PDF
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Sunday
12-05-2021
04:25:34 UTC