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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) : 3816, period of time : 10-22-2011 - 10-18-2021


Match total

Average per match E = 2.69, variance V = 2.91, SD = 1.71, E/V = 0.93, Min = 0, Max = 12
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 = 1.55, variance V = 1.82, SD = 1.35, E/V = 0.85, 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 = 1.14, variance V = 1.30, SD = 1.14, E/V = 0.88, 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 = 0.42, variance V = 3.34, SD = 1.83, E/V = 0.13, 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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Saturday
10-23-2021
04:36:55 UTC