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Mathematical statistics of goals - Football. France. Ligue 1

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


Quantity of matches (sample size) : 3639, period of time : 08-08-2014 - 06-02-2024


Match total

Average per match E = 2.65, variance V = 2.66, SD = 1.63, E/V = 1.00, Min = 0, Max = 9
P1 = 43.7%, draw = 25.9%, P2 = 30.4%, total 0 = 7.6%, over 2.5 = 49.8%, under 2.5 = 50.2%
Basic random variable ~ Poisson distribution: Pois(E)

France. Ligue 1: Poisson and Total PDF
France. Ligue 1: Poisson and Total CDF

Home team goals

Average per match E = 1.48, variance V = 1.62, SD = 1.27, E/V = 0.91, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. Ligue 1: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.17, variance V = 1.29, SD = 1.14, E/V = 0.91, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. Ligue 1: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.31, variance V = 3.17, SD = 1.78, E/V = 0.10, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. Ligue 1: Gaus (Normal) and Difference PDF
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Saturday
06-15-2024
11:42:22 UTC