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Mathematical statistics of goals - Football. Northern Ireland. Premier League

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


Quantity of matches (sample size) : 2270, period of time : 03-22-2014 - 03-16-2024


Match total

Average per match E = 3.00, variance V = 3.01, SD = 1.74, E/V = 1.00, Min = 0, Max = 10
P1 = 44.1%, draw = 20.0%, P2 = 36.0%, total 0 = 4.7%, over 2.5 = 57.6%, under 2.5 = 42.4%
Basic random variable ~ Poisson distribution: Pois(E)

Northern Ireland. Premier League: Poisson and Total PDF
Northern Ireland. Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.63, variance V = 1.99, SD = 1.41, E/V = 0.82, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Northern Ireland. Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.37, variance V = 1.64, SD = 1.28, E/V = 0.84, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Northern Ireland. Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.25, variance V = 4.26, SD = 2.06, E/V = 0.06, Min = -6, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Thursday
03-28-2024
16:05:40 UTC