# Bayesian Information Criterion

BIC is Bayesian information criterion, it replaced the $+2k$ term in AIC with $k\ln n$

$$ \mathrm{BIC} = -2\ln p(y|\hat\theta) + k\ln n = \ln \left(\frac{n^k}{p^2}\right) $$

- $n$ is the observations.

We prefer the model with a small BIC.

Published:
by Lei Ma;

## Table of Contents

**Current Ref:**

- cards/statistics/bic.md