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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) : 374, period of time : 02-27-2020 - 11-30-2021


Match total

Average per match E = 1.92, variance V = 2.02, SD = 1.42, E/V = 0.95, Min = 0, Max = 7
P1 = 39.8%, draw = 33.7%, P2 = 26.5%, total 0 = 15.2%, over 2.5 = 29.7%, under 2.5 = 70.3%
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 = 1.05, variance V = 0.93, SD = 0.97, E/V = 1.12, 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 = 0.88, variance V = 1.02, SD = 1.01, E/V = 0.86, 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 = 0.17, variance V = 1.88, SD = 1.37, 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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Sunday
12-05-2021
05:37:10 UTC