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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) : 3041, period of time : 04-14-2014 - 04-13-2024


Match total

Average per match E = 2.58, variance V = 2.65, SD = 1.63, E/V = 0.97, Min = 0, Max = 10
P1 = 44.7%, draw = 24.1%, P2 = 31.2%, total 0 = 7.6%, over 2.5 = 47.6%, under 2.5 = 52.4%
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 = 1.44, variance V = 1.63, SD = 1.28, E/V = 0.88, 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 = 1.14, variance V = 1.33, SD = 1.15, E/V = 0.85, 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 = 0.31, variance V = 3.28, SD = 1.81, 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:

Tuesday
04-16-2024
07:50:38 UTC