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Mathematical statistics of goals - Football. France. League Cup

Graphs of sample (in blue) and basic random variables (probability density)


Quantity of matches (sample size) : 255, period of time : 04-19-2014 - 07-31-2020


Match total

Average per match E = 2.74, variance V = 2.93, SD = 1.71, E/V = 0.93, Min = 0, Max = 8
P1 = 43.9%, draw = 30.6%, P2 = 25.5%, total 0 = 8.6%, over 2.5 = 51.0%, under 2.5 = 49.0%
Basic random variable ~ Poisson distribution: Pois(E)

France. League Cup: Poisson and Total PDF
France. League Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.56, variance V = 1.63, SD = 1.28, E/V = 0.96, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. League Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.18, variance V = 1.11, SD = 1.05, E/V = 1.06, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

France. League Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.38, variance V = 2.53, SD = 1.59, E/V = 0.15, Min = -3, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

France. League Cup: Gaus (Normal) and Difference PDF
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Thursday
04-18-2024
13:49:24 UTC