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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) : 1881, period of time : 02-04-2012 - 01-22-2022


Match total

Average per match E = 3.14, variance V = 3.64, SD = 1.91, E/V = 0.86, Min = 0, Max = 12
P1 = 44.4%, draw = 20.6%, P2 = 35.0%, total 0 = 5.6%, over 2.5 = 59.7%, under 2.5 = 40.3%
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 = 1.69, variance V = 2.25, SD = 1.50, E/V = 0.75, Min = 0, Max = 10
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 = 1.45, variance V = 2.00, SD = 1.41, 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 = 0.24, variance V = 4.87, SD = 2.21, E/V = 0.05, Min = -12, Max = 10
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Thursday
01-27-2022
11:46:28 UTC