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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) : 7925, period of time : 08-16-2003 - 04-20-2024


Match total

Average per match E = 2.72, variance V = 2.81, SD = 1.68, E/V = 0.97, Min = 0, Max = 11
P1 = 45.8%, draw = 24.7%, P2 = 29.5%, total 0 = 7.6%, over 2.5 = 51.4%, under 2.5 = 48.6%
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 = 1.54, variance V = 1.73, 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 = 1.18, variance V = 1.34, SD = 1.16, 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 = 0.36, variance V = 3.33, SD = 1.83, 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:

Sunday
04-21-2024
04:08:05 UTC