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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) : 6838, period of time : 08-16-2003 - 05-23-2021


Match total

Average per match E = 2.68, variance V = 2.79, 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 = 1.52, variance V = 1.70, SD = 1.31, 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 1 PDF

Away team goals

Average per match E = 1.15, variance V = 1.31, SD = 1.14, E/V = 0.88, 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 = 0.37, variance V = 3.24, SD = 1.80, E/V = 0.11, Min = -9, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Friday
08-06-2021
02:06:44 UTC