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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) : 1114, period of time : 08-06-2016 - 06-05-2021


Match total

Average per match E = 3.06, variance V = 3.04, SD = 1.74, E/V = 1.01, Min = 0, Max = 10
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 = 1.65, variance V = 2.02, SD = 1.42, E/V = 0.82, Min = 0, Max = 8
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 = 1.41, variance V = 1.65, SD = 1.28, E/V = 0.86, Min = 0, Max = 6
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 = 0.24, variance V = 4.30, SD = 2.07, E/V = 0.06, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Sunday
08-01-2021
05:34:50 UTC