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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) : 2958, period of time : 10-06-2012 - 09-30-2022


Match total

Average per match E = 2.56, variance V = 2.56, SD = 1.60, E/V = 1.00, Min = 0, Max = 10
P1 = 44.4%, draw = 24.4%, P2 = 31.2%, total 0 = 7.5%, over 2.5 = 47.2%, under 2.5 = 52.8%
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 = 1.43, 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 = 1.13, variance V = 1.31, SD = 1.14, E/V = 0.87, 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 = 3.19, SD = 1.79, E/V = 0.09, Min = -7, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
10-03-2022
21:27:54 UTC