Distributions in Python

A frozen distribution answers pdf, cdf and ppf without repeating parameters.

import numpy as np
from scipy import stats

tpm = stats.norm(loc=95, scale=12)

print(round(tpm.pdf(95), 5), round(tpm.cdf(107), 4))
print(round(tpm.ppf(0.95), 2), tpm.interval(0.95)[0].round(2))
print(tpm.mean(), tpm.std(), round(tpm.var(), 1))

rng = np.random.default_rng(0)
print(tpm.rvs(size=4, random_state=rng).round(1))

How it works

1. norm(loc, scale) freezes the parameters into one object.
2. cdf goes value to probability, ppf goes back.
3. rvs samples, seeded by a Generator for reproducibility.

Keywords and builtins used here

• as
• print
• round

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Step 1 of 3 in Distributions, step 1 of 23 in Scientific computing with SciPy.

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Distributions in other languages

• R
• R