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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) : 961, period of time : 02-07-2020 - 05-26-2023


Match total

Average per match E = 2.41, variance V = 2.60, SD = 1.61, E/V = 0.93, Min = 0, Max = 9
P1 = 40.7%, draw = 30.9%, P2 = 28.4%, total 0 = 11.0%, over 2.5 = 43.6%, under 2.5 = 56.4%
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 = 1.33, variance V = 1.35, SD = 1.16, E/V = 0.99, 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 = 1.08, variance V = 1.14, SD = 1.07, 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 2 PDF

Goals difference

Average per match E = 0.25, variance V = 2.38, SD = 1.54, E/V = 0.11, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Tuesday
05-30-2023
03:59:43 UTC