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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) : 3704, period of time : 09-17-2011 - 09-12-2021


Match total

Average per match E = 2.58, variance V = 2.54, SD = 1.59, E/V = 1.02, Min = 0, Max = 9
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 = 1.47, variance V = 1.54, SD = 1.24, E/V = 0.95, 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 = 1.11, variance V = 1.23, SD = 1.11, E/V = 0.90, 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 = 0.36, variance V = 3.00, SD = 1.73, E/V = 0.12, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. Ligue 1: Gaus (Normal) and Difference PDF
Page time:

Tuesday
09-21-2021
23:56:32 UTC