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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) : 4130, period of time : 08-28-2014 - 07-14-2024


Match total

Average per match E = 2.91, variance V = 2.91, SD = 1.71, E/V = 1.00, Min = 0, Max = 10
P1 = 50.7%, draw = 25.1%, P2 = 24.2%, total 0 = 6.6%, over 2.5 = 57.4%, under 2.5 = 42.6%
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 = 1.74, variance V = 1.66, SD = 1.29, 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 = 1.17, variance V = 1.19, SD = 1.09, E/V = 0.99, 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 2 PDF

Goals difference

Average per match E = 0.57, variance V = 2.77, SD = 1.67, E/V = 0.20, Min = -7, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

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

Thursday
12-19-2024
09:37:34 UTC