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Mathematical statistics of goals - Ice Hockey. IIHF. Champions League (FT)

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


Quantity of matches (sample size) : 1183, period of time : 08-21-2014 - 11-22-2023


Match total

Average per match E = 5.38, variance V = 5.31, SD = 2.30, E/V = 1.01, Min = 0, Max = 12
P1 = 47.9%, draw = 18.2%, P2 = 33.9%, total 0 = 0.5%, over 2.5 = 89.8%, under 2.5 = 10.2%
Basic random variable ~ Poisson distribution: Pois(E)

IIHF. Champions League: Poisson and Total PDF
IIHF. Champions League: Poisson and Total CDF

Home team goals

Average per match E = 2.93, variance V = 3.55, SD = 1.88, E/V = 0.82, Min = 0, Max = 10
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

IIHF. Champions League: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 2.45, variance V = 2.96, SD = 1.72, E/V = 0.83, Min = 0, Max = 11
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

IIHF. Champions League: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.48, variance V = 7.72, SD = 2.78, E/V = 0.06, Min = -10, Max = 9
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

IIHF. Champions League: Gaus (Normal) and Difference PDF
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Sunday
12-03-2023
21:49:46 UTC