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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) : 655, period of time : 02-07-2020 - 05-13-2022


Match total

Average per match E = 2.37, variance V = 2.66, SD = 1.63, E/V = 0.89, Min = 0, Max = 9
P1 = 41.8%, draw = 30.4%, P2 = 27.8%, total 0 = 12.1%, over 2.5 = 43.7%, under 2.5 = 56.3%
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 = 1.39, SD = 1.18, E/V = 0.96, 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 = 1.04, variance V = 1.14, SD = 1.07, E/V = 0.91, 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 = 0.29, variance V = 2.40, SD = 1.55, E/V = 0.12, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Saturday
05-21-2022
15:12:46 UTC