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Mathematical statistics of goals - Football. England. Premier League

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


Quantity of matches (sample size) : 6403, period of time : 08-16-2003 - 07-04-2020


Match total

Average per match E = 2.68, variance V = 2.77, SD = 1.67, E/V = 0.96, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)

England. Premier League: Poisson and Total PDF
England. Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.53, variance V = 1.70, SD = 1.30, E/V = 0.90, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

England. Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.14, variance V = 1.29, SD = 1.14, E/V = 0.89, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

England. Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.39, variance V = 3.21, SD = 1.79, E/V = 0.12, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

England. Premier League: Gaus (Normal) and Difference PDF
Page time:

Sunday
07-05-2020
12:23:45 UTC