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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) : 3609, period of time : 08-29-2014 - 06-02-2024


Match total

Average per match E = 2.65, variance V = 2.65, SD = 1.63, E/V = 1.00, Min = 0, Max = 9
P1 = 43.8%, draw = 25.9%, P2 = 30.3%, total 0 = 7.5%, over 2.5 = 50.0%, under 2.5 = 50.0%
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 = 1.48, variance V = 1.62, SD = 1.27, 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 = 1.17, variance V = 1.30, SD = 1.14, 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 = 0.31, variance V = 3.18, SD = 1.78, E/V = 0.10, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. Ligue 1: Gaus (Normal) and Difference PDF
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Friday
10-04-2024
06:18:08 UTC