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Mathematical statistics of goals - Football. Australia. A-League

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


Quantity of matches (sample size) : 1452, period of time : 10-05-2012 - 05-28-2022


Match total

Average per match E = 2.94, variance V = 2.91, SD = 1.71, E/V = 1.01, Min = 0, Max = 10
P1 = 46.3%, draw = 22.7%, P2 = 31.1%, total 0 = 5.4%, over 2.5 = 57.7%, under 2.5 = 42.3%
Basic random variable ~ Poisson distribution: Pois(E)

Australia. A-League: Poisson and Total PDF
Australia. A-League: Poisson and Total CDF

Home team goals

Average per match E = 1.61, variance V = 1.67, SD = 1.29, E/V = 0.97, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Australia. A-League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.32, variance V = 1.41, SD = 1.19, E/V = 0.94, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Australia. A-League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.29, variance V = 3.26, SD = 1.80, E/V = 0.09, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Australia. A-League: Gaus (Normal) and Difference PDF
Page time:

Wednesday
08-17-2022
22:16:26 UTC