To the Heroes Glory!

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Mathematical statistics of runs - Baseball. USA. MLB

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


Quantity of matches (sample size) : 29439, period of time : 09-30-2011 - 11-01-2023


Match total - runs

Average per match E = 8.90, variance V = 20.25, SD = 4.50, E/V = 0.44, Min = 1, Max = 38
P1 = 53.5%, draw = 0.0%, P2 = 46.5%, total 0 = 0.0%, over 2.5 = 96.1%, under 2.5 = 3.9%
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.98, p=0.44

USA. MLB: Pascal and Total PDF
USA. MLB: Pascal and Total CDF

Home team runs

Average per match E = 4.50, variance V = 9.61, SD = 3.10, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.97, p=0.47

USA. MLB: Pascal and Total 1 PDF

Away team runs

Average per match E = 4.40, variance V = 10.17, SD = 3.19, E/V = 0.43, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.34, p=0.43

USA. MLB: Pascal and Total 2 PDF

Runs difference

Average per match E = 0.11, variance V = 19.33, SD = 4.40, E/V = 0.01, Min = -24, Max = 23
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

USA. MLB: Gaus (Normal) and Difference PDF
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Wednesday
02-28-2024
03:21:35 UTC