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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) : 2408, period of time : 09-23-2016 - 05-18-2024


Match total

Average per match E = 2.59, variance V = 2.64, SD = 1.62, E/V = 0.98, Min = 0, Max = 10
P1 = 44.9%, draw = 23.5%, P2 = 31.6%, total 0 = 7.3%, over 2.5 = 48.2%, under 2.5 = 51.8%
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 = 1.44, variance V = 1.63, SD = 1.28, E/V = 0.89, 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 = 1.15, 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 = 3.24, SD = 1.80, 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:

Wednesday
10-28-2026
09:07:40 UTC