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Mathematical statistics of goals - Football. UAFA. Pan Arab Games

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


Quantity of matches (sample size) : 16, period of time : 12-10-2011 - 12-23-2011


Match total

Average per match E = 1.63, variance V = 2.78, SD = 1.67, E/V = 0.58, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E)

UAFA. Pan Arab Games: Poisson and Total PDF
UAFA. Pan Arab Games: Poisson and Total CDF

Home team goals

Average per match E = 0.88, variance V = 1.85, SD = 1.36, E/V = 0.47, Min = 0, Max = 4
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UAFA. Pan Arab Games: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 0.75, variance V = 0.73, SD = 0.86, E/V = 1.02, Min = 0, Max = 2
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UAFA. Pan Arab Games: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.13, variance V = 2.38, SD = 1.54, E/V = 0.05, Min = -2, Max = 3
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UAFA. Pan Arab Games: Gaus (Normal) and Difference PDF
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Tuesday
12-07-2021
12:43:16 UTC