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Mathematical statistics of goals - Football. Japan. J-Legaue 1

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


Quantity of matches (sample size) : 3130, period of time : 10-22-2011 - 10-17-2021


Match total

Average per match E = 2.67, variance V = 2.84, SD = 1.69, E/V = 0.94, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

Japan. J-Legaue 1: Poisson and Total PDF
Japan. J-Legaue 1: Poisson and Total CDF

Home team goals

Average per match E = 1.41, variance V = 1.56, SD = 1.25, E/V = 0.90, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Japan. J-Legaue 1: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.26, variance V = 1.32, SD = 1.15, E/V = 0.95, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Japan. J-Legaue 1: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.15, variance V = 2.91, SD = 1.71, E/V = 0.05, Min = -8, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Japan. J-Legaue 1: Gaus (Normal) and Difference PDF
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Saturday
10-23-2021
05:02:48 UTC