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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) : 2263, period of time : 03-01-2014 - 02-28-2024


Match total

Average per match E = 2.66, variance V = 2.57, SD = 1.60, E/V = 1.03, Min = 0, Max = 10
P1 = 43.4%, draw = 23.5%, P2 = 33.2%, total 0 = 6.8%, over 2.5 = 50.4%, under 2.5 = 49.6%
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 = 1.47, variance V = 1.72, SD = 1.31, 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 = 1.19, variance V = 1.38, SD = 1.17, E/V = 0.86, Min = 0, Max = 9
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 = 0.28, variance V = 3.64, SD = 1.91, E/V = 0.08, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
03-04-2024
18:54:08 UTC