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Mathematical statistics of goals - Football. World Championship. Qualification

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


Quantity of matches (sample size) : 183, period of time : 11-10-2017 - 03-26-2024


Match total

Average per match E = 2.56, variance V = 3.68, SD = 1.92, E/V = 0.70, Min = 0, Max = 9
P1 = 42.1%, draw = 24.0%, P2 = 33.9%, total 0 = 11.5%, over 2.5 = 43.2%, under 2.5 = 56.8%
Basic random variable ~ Poisson distribution: Pois(E)

World Championship. Qualification: Poisson and Total PDF
World Championship. Qualification: Poisson and Total CDF

Home team goals

Average per match E = 1.46, variance V = 3.34, SD = 1.83, E/V = 0.44, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship. Qualification: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.10, variance V = 1.76, SD = 1.33, E/V = 0.63, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

World Championship. Qualification: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.36, variance V = 6.53, SD = 2.55, E/V = 0.05, Min = -6, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

World Championship. Qualification: Gaus (Normal) and Difference PDF
Page time:

Friday
03-29-2024
09:27:28 UTC