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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) : 3710, period of time : 01-14-2012 - 01-09-2022


Match total

Average per match E = 2.58, variance V = 2.53, SD = 1.59, E/V = 1.02, Min = 0, Max = 9
P1 = 44.4%, draw = 26.6%, P2 = 29.0%, total 0 = 7.7%, over 2.5 = 47.6%, under 2.5 = 52.4%
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 = 1.46, variance V = 1.55, SD = 1.25, E/V = 0.94, 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 = 1.12, variance V = 1.23, SD = 1.11, 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 = 0.35, variance V = 3.02, SD = 1.74, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
01-17-2022
10:55:01 UTC