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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) : 2417, period of time : 07-20-2012 - 05-28-2022


Match total

Average per match E = 2.44, variance V = 2.56, SD = 1.60, E/V = 0.96, Min = 0, Max = 11
P1 = 43.6%, draw = 25.8%, P2 = 30.7%, total 0 = 9.4%, over 2.5 = 44.7%, under 2.5 = 55.3%
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 = 1.38, variance V = 1.63, SD = 1.28, E/V = 0.85, 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 = 1.06, variance V = 1.14, SD = 1.07, 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 = 2.98, SD = 1.73, 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:

Wednesday
06-29-2022
00:50:16 UTC