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Mathematical statistics of goals - Football. Wales. Premier League

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


Quantity of matches (sample size) : 1473, period of time : 09-20-2016 - 05-18-2024


Match total

Average per match E = 3.04, variance V = 3.64, SD = 1.91, E/V = 0.84, Min = 0, Max = 12
P1 = 45.2%, draw = 20.2%, P2 = 34.6%, total 0 = 6.2%, over 2.5 = 57.0%, under 2.5 = 43.0%
Basic random variable ~ Poisson distribution: Pois(E)

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

Home team goals

Average per match E = 1.65, variance V = 2.38, SD = 1.54, E/V = 0.69, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Away team goals

Average per match E = 1.39, variance V = 2.08, SD = 1.44, E/V = 0.67, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

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

Goals difference

Average per match E = 0.25, variance V = 5.28, SD = 2.30, E/V = 0.05, Min = -12, Max = 11
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Monday
09-21-2026
21:59:11 UTC