In general, convention for Statistics and Monte Carlo is as following:
- Distribution parameters are marked with Greek letters/symbols
- Sampling results are marked with Latin letters/symbols
$\mu$ vs $m$, and $\sigma$ vs $s$
For example,
distribution parameters, in Greek
mu = 0.0
sigma = 1.0
v = np.random.normal(mu, sigma, 1000)
Sampling parameters, in Latin
m = np.mean(v)
s = np.std(v)