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Mathematical statistics of goals - Football. Portugal. Premier League

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


Quantity of matches (sample size) : 1532, period of time : 08-12-2016 - 05-30-2021


Match total

Average per match E = 2.54, variance V = 2.63, SD = 1.62, E/V = 0.97, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.42, variance V = 1.57, SD = 1.25, E/V = 0.91, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.12, variance V = 1.31, SD = 1.14, E/V = 0.86, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.30, variance V = 3.12, SD = 1.77, E/V = 0.10, Min = -7, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Friday
08-06-2021
03:47:00 UTC