# Is it possible that AIC = BIC?

Two well-known (and related) measures of model complexity from statistics are the Akaike Information Criterion (AIC) and the Bayesian Information
Criterion (BIC).

When might AIC = BIC?

$$AIC = – 2 \log \mathcal{L}(\hat{\theta}|X)+2k$$
$$BIC = – 2 \log \mathcal{L}(\hat{\theta}|X)+k \ln(n)$$
So for what values of $$n$$ is $$2 = \ln(n)$$?