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Mathematical statistics of goals - Football. England. League Cup

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


Quantity of matches (sample size) : 753, period of time : 09-24-2013 - 09-22-2021


Match total

Average per match E = 2.92, variance V = 2.99, SD = 1.73, E/V = 0.98, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E)

England. League Cup: Poisson and Total PDF
England. League Cup: Poisson and Total CDF

Home team goals

Average per match E = 1.53, variance V = 2.02, SD = 1.42, E/V = 0.76, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

England. League Cup: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.39, variance V = 1.62, SD = 1.27, E/V = 0.85, Min = 0, Max = 8
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

England. League Cup: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.14, variance V = 4.30, SD = 2.07, E/V = 0.03, Min = -8, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

England. League Cup: Gaus (Normal) and Difference PDF
Page time:

Saturday
10-23-2021
04:00:41 UTC