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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) : 2250, period of time : 08-29-2014 - 05-06-2024


Match total

Average per match E = 3.01, variance V = 3.02, SD = 1.74, E/V = 0.99, Min = 0, Max = 10
P1 = 44.5%, draw = 19.5%, P2 = 36.0%, total 0 = 4.5%, over 2.5 = 57.7%, under 2.5 = 42.3%
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 = 2.02, SD = 1.42, E/V = 0.81, 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 = 0.26, variance V = 4.29, SD = 2.07, 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:

Monday
10-14-2024
06:19:23 UTC