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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) : 518, period of time : 02-27-2020 - 05-04-2022


Match total

Average per match E = 1.90, variance V = 2.02, SD = 1.42, E/V = 0.94, Min = 0, Max = 7
P1 = 37.8%, draw = 35.5%, P2 = 26.6%, total 0 = 16.6%, over 2.5 = 29.2%, under 2.5 = 70.8%
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 = 1.02, variance V = 0.93, SD = 0.96, E/V = 1.10, 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 = 0.87, variance V = 0.98, SD = 0.99, E/V = 0.89, 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 = 0.15, variance V = 1.80, SD = 1.34, E/V = 0.08, Min = -5, Max = 4
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

Iran. Pro League: Gaus (Normal) and Difference PDF
Page time:

Tuesday
05-17-2022
05:23:27 UTC