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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) : 3709, period of time : 08-10-2012 - 05-29-2022


Match total

Average per match E = 2.60, variance V = 2.59, SD = 1.61, E/V = 1.00, Min = 0, Max = 9
P1 = 44.3%, draw = 26.5%, P2 = 29.2%, total 0 = 7.7%, over 2.5 = 47.9%, under 2.5 = 52.1%
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 = 1.59, SD = 1.26, E/V = 0.92, 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 = 1.13, variance V = 1.24, 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 = 3.08, SD = 1.75, 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:

Wednesday
06-29-2022
01:22:33 UTC