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Mathematical statistics of goals - Football. USA. MLS

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


Quantity of matches (sample size) : 1841, period of time : 07-30-2016 - 07-26-2021


Match total

Average per match E = 2.97, variance V = 2.88, SD = 1.70, E/V = 1.03, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)

USA. MLS: Poisson and Total PDF
USA. MLS: Poisson and Total CDF

Home team goals

Average per match E = 1.79, variance V = 1.71, SD = 1.31, E/V = 1.05, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

USA. MLS: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.19, variance V = 1.22, SD = 1.11, E/V = 0.97, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

USA. MLS: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.60, variance V = 2.99, SD = 1.73, E/V = 0.20, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

USA. MLS: Gaus (Normal) and Difference PDF
Page time:

Wednesday
07-28-2021
16:30:39 UTC