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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) : 727, period of time : 02-07-2020 - 10-03-2022


Match total

Average per match E = 2.38, variance V = 2.60, SD = 1.61, E/V = 0.91, Min = 0, Max = 9
P1 = 41.3%, draw = 31.2%, P2 = 27.5%, total 0 = 11.6%, over 2.5 = 42.9%, under 2.5 = 57.1%
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 = 1.34, variance V = 1.38, SD = 1.17, E/V = 0.97, 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 = 1.04, variance V = 1.11, SD = 1.05, 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 2 PDF

Goals difference

Average per match E = 0.30, variance V = 2.38, SD = 1.54, 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
Page time:

Monday
10-03-2022
20:49:30 UTC