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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) : 1267, period of time : 02-07-2020 - 05-18-2024


Match total

Average per match E = 2.44, variance V = 2.58, SD = 1.60, E/V = 0.95, Min = 0, Max = 9
P1 = 41.8%, draw = 29.8%, P2 = 28.4%, total 0 = 10.1%, over 2.5 = 44.2%, under 2.5 = 55.8%
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 = 1.36, variance V = 1.36, SD = 1.17, E/V = 1.00, 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 = 1.09, variance V = 1.13, SD = 1.06, 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 2 PDF

Goals difference

Average per match E = 0.27, variance V = 2.41, SD = 1.55, E/V = 0.11, Min = -6, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. National Championship: Gaus (Normal) and Difference PDF
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Sunday
12-22-2024
03:04:25 UTC