Mathematical statistics of goals - Baseball

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

Quantity of matches (sample size) : 21867, period of time : 09-30-2011 - 03-06-2021

Match total

Average per match E = 8.81, variance V = 19.88, SD = 4.46, E/V = 0.44, Min = 1, Max = 38
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.01, p=0.44

Home team goals

Average per match E = 4.47, variance V = 9.45, SD = 3.07, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=4.02, p=0.47

Away team goals

Average per match E = 4.34, variance V = 9.97, SD = 3.16, E/V = 0.44, Min = 0, Max = 24
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.34, p=0.44

Goals difference

Average per match E = 0.13, variance V = 18.95, SD = 4.35, E/V = 0.01, Min = -21, Max = 21
Basic random variable ~ Normal (Gauss) distribution: N(E, V)