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Mathematical statistics of goals - Football. Russia. Premier League

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


Quantity of matches (sample size) : 2401, period of time : 09-24-2011 - 09-20-2021


Match total

Average per match E = 2.42, variance V = 2.49, SD = 1.58, E/V = 0.97, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.37, variance V = 1.58, SD = 1.26, E/V = 0.86, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.05, variance V = 1.13, SD = 1.06, E/V = 0.93, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.32, variance V = 2.93, SD = 1.71, E/V = 0.11, Min = -6, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Tuesday
09-21-2021
23:20:33 UTC