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Mathematical statistics of goals - Football. Ireland. Premier Division

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


Quantity of matches (sample size) : 1363, period of time : 09-19-2016 - 07-12-2024


Match total

Average per match E = 2.55, variance V = 2.59, SD = 1.61, E/V = 0.99, Min = 0, Max = 11
P1 = 45.1%, draw = 23.2%, P2 = 31.7%, total 0 = 8.1%, over 2.5 = 48.1%, under 2.5 = 51.9%
Basic random variable ~ Poisson distribution: Pois(E)

Ireland. Premier Division: Poisson and Total PDF
Ireland. Premier Division: Poisson and Total CDF

Home team goals

Average per match E = 1.44, variance V = 1.88, SD = 1.37, E/V = 0.77, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Ireland. Premier Division: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.11, variance V = 1.20, SD = 1.10, E/V = 0.92, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Ireland. Premier Division: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.34, variance V = 3.57, SD = 1.89, E/V = 0.09, Min = -7, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Wednesday
10-28-2026
09:06:12 UTC