# Mathematical statistics of runs - Baseball. Japan. NPB

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

Quantity of matches (sample size) : 2771, period of time : 10-05-2019 - 10-30-2022

### Match total - runs

Average per match E = 7.57, variance V = 17.11, SD = 4.14, E/V = 0.44, Min = 0, Max = 25

P1 = 50.1%, draw = 7.1%, P2 = 42.8%, total 0 = 0.4%, over 2.5 = 92.3%, under 2.5 = 7.7%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.00, p=0.44

### Home team runs

Average per match E = 3.85, variance V = 7.97, SD = 2.82, E/V = 0.48, Min = 0, Max = 18

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.60, p=0.48

### Away team runs

Average per match E = 3.72, variance V = 8.78, SD = 2.96, E/V = 0.42, Min = 0, Max = 20

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=2.73, p=0.42

### Runs difference

Average per match E = 0.13, variance V = 16.39, SD = 4.05, E/V = 0.01, Min = -16, Max = 16

Basic random variable ~ Normal (Gauss) distribution: N(E, V)