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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) : 1776, period of time : 08-29-2014 - 07-14-2024


Match total

Average per match E = 2.47, variance V = 2.51, SD = 1.59, E/V = 0.98, Min = 0, Max = 8
P1 = 46.3%, draw = 23.5%, P2 = 30.2%, total 0 = 8.4%, over 2.5 = 45.7%, under 2.5 = 54.3%
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 = 1.41, variance V = 1.56, SD = 1.25, E/V = 0.91, 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 = 1.06, variance V = 1.12, SD = 1.06, E/V = 0.94, 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 = 0.35, variance V = 2.85, SD = 1.69, E/V = 0.12, 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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Thursday
11-21-2024
10:39:17 UTC