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Mathematical statistics of goals - Football. Kazakhstan. Premier League

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


Quantity of matches (sample size) : 1831, period of time : 03-15-2014 - 10-29-2023


Match total

Average per match E = 2.47, variance V = 2.56, SD = 1.60, E/V = 0.97, Min = 0, Max = 8
P1 = 47.0%, draw = 23.4%, P2 = 29.6%, total 0 = 8.5%, over 2.5 = 45.8%, under 2.5 = 54.2%
Basic random variable ~ Poisson distribution: Pois(E)

Kazakhstan. Premier League: Poisson and Total PDF
Kazakhstan. Premier League: Poisson and Total CDF

Home team goals

Average per match E = 1.43, variance V = 1.59, SD = 1.26, E/V = 0.90, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Kazakhstan. Premier League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.04, variance V = 1.12, SD = 1.06, E/V = 0.93, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Kazakhstan. Premier League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.38, variance V = 2.87, SD = 1.69, E/V = 0.13, Min = -5, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Kazakhstan. Premier League: Gaus (Normal) and Difference PDF
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Monday
03-04-2024
19:12:44 UTC