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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) : 1900, period of time : 08-25-2014 - 05-18-2024


Match total

Average per match E = 3.06, variance V = 3.56, SD = 1.89, E/V = 0.86, Min = 0, Max = 12
P1 = 44.5%, draw = 21.0%, P2 = 34.6%, total 0 = 6.2%, over 2.5 = 57.6%, under 2.5 = 42.4%
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 = 2.34, SD = 1.53, E/V = 0.71, 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 = 1.40, variance V = 1.96, SD = 1.40, E/V = 0.72, 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 = 5.03, SD = 2.24, 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
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Sunday
12-22-2024
02:33:15 UTC