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Mathematical statistics of goals - Football. Spain. La Liga

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


Quantity of matches (sample size) : 3790, period of time : 08-29-2014 - 05-26-2024


Match total

Average per match E = 2.63, variance V = 2.85, SD = 1.69, E/V = 0.92, Min = 0, Max = 12
P1 = 45.4%, draw = 26.0%, P2 = 28.5%, total 0 = 7.9%, over 2.5 = 48.2%, under 2.5 = 51.8%
Basic random variable ~ Poisson distribution: Pois(E)

Spain. La Liga: Poisson and Total PDF
Spain. La Liga: Poisson and Total CDF

Home team goals

Average per match E = 1.50, variance V = 1.70, SD = 1.30, E/V = 0.88, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Spain. La Liga: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.13, variance V = 1.27, SD = 1.13, E/V = 0.89, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Spain. La Liga: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.37, variance V = 3.09, SD = 1.76, E/V = 0.12, Min = -8, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Spain. La Liga: Gaus (Normal) and Difference PDF
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Monday
12-30-2024
14:42:40 UTC