Awesome Open Source
Awesome Open Source

Conjugate Prior

Python implementation of the conjugate prior table for Bayesian Statistics

Downloads

See wikipedia page:

https://en.wikipedia.org/wiki/Conjugate_prior#Table_of_conjugate_distributions

Installation:

pip install conjugate-prior

Supported Models:

  1. BetaBinomial - Useful for independent trials such as click-trough-rate (ctr), web visitor conversion.
  2. BetaBernoulli - Same as above.
  3. GammaExponential - Useful for churn-rate analysis, cost, dwell-time.
  4. GammaPoisson - Useful for time passed until event, as above.
  5. NormalNormalKnownVar - Useful for modeling a centralized distribution with constant noise.
  6. NormalLogNormalKnownVar - Useful for modeling a Length of a support phone call.
  7. InvGammaNormalKnownMean - Useful for modeling the effect of a noise.
  8. InvGammaWeibullKnownShape - Useful for reasoning about particle sizes over time.
  9. DirichletMultinomial - Extension of BetaBinomial to more than 2 types of events (Limited support).

Basic API

  1. model = GammaExponential(a, b) - A Bayesian model with an Exponential likelihood, and a Gamma prior. Where a and b are the prior parameters.
  2. model.pdf(x) - Returns the probability-density-function of the prior function at x.
  3. model.cdf(x) - Returns the cumulative-density-function of the prior function at x.
  4. model.mean() - Returns the prior mean.
  5. model.plot(l, u) - Plots the prior distribution between l and u.
  6. model.posterior(l, u) - Returns the credible interval on (l,u) (equivalent to cdf(u)-cdf(l)).
  7. model.update(data) - Returns a new model after observing data.
  8. model.predict(x) - Predicts the likelihood of observing x (if a posterior predictive exists).
  9. model.sample() - Draw a single sample from the posterior distribution.

Coin flip example:

from conjugate_prior import BetaBinomial
heads = 95
tails = 105
prior_model = BetaBinomial() # Uninformative prior
updated_model = prior_model.update(heads, tails)
credible_interval = updated_model.posterior(0.45, 0.55)
print ("There's {p:.2f}% chance that the coin is fair".format(p=credible_interval*100))
predictive = updated_model.predict(50, 50)
print ("The chance of flipping 50 Heads and 50 Tails in 100 trials is {p:.2f}%".format(p=predictive*100))

Get A Weekly Email With Trending Projects For These Topics
No Spam. Unsubscribe easily at any time.
Python (1,140,439
Data Science (8,778
Data (4,303
Statistics (4,294
Probability (612
Bayesian Statistics (217
Probabilistic Programming (203
Related Projects