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Mathematical statistics of goals - Football. Iran. Pro League

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


Quantity of matches (sample size) : 319, period of time : 02-27-2020 - 07-30-2021


Match total

Average per match E = 2.00, variance V = 2.09, SD = 1.45, E/V = 0.95, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E)

Iran. Pro League: Poisson and Total PDF
Iran. Pro League: Poisson and Total CDF

Home team goals

Average per match E = 1.09, variance V = 0.94, SD = 0.97, E/V = 1.16, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Iran. Pro League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 0.91, variance V = 1.06, SD = 1.03, E/V = 0.85, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Iran. Pro League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.18, variance V = 1.91, SD = 1.38, E/V = 0.09, Min = -5, Max = 4
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Iran. Pro League: Gaus (Normal) and Difference PDF
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Friday
08-06-2021
04:25:11 UTC