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Mathematical statistics of goals - Football. Scotland. Premier League

Graphs of sample (in blue) and basic random variables (probability density)


Quantity of matches (sample size) : 2239, period of time : 01-14-2012 - 12-26-2021


Match total

Average per match E = 2.64, variance V = 2.66, SD = 1.63, E/V = 0.99, Min = 0, Max = 10
P1 = 42.1%, draw = 24.2%, P2 = 33.7%, total 0 = 7.5%, over 2.5 = 50.2%, under 2.5 = 49.8%
Basic random variable ~ Poisson distribution: Pois(E)

Scotland. Premier League: Poisson and Total PDF
Scotland. Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.44, variance V = 1.69, SD = 1.30, E/V = 0.85, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Scotland. Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.20, variance V = 1.41, SD = 1.19, E/V = 0.86, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Scotland. Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.24, variance V = 3.53, SD = 1.88, E/V = 0.07, Min = -7, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
01-17-2022
10:40:45 UTC