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?

Answer

As a reminder:

$$AIC = – 2 \log \mathcal{L}(\hat{\theta}|X)+2k $$

$$BIC = – 2 \log \mathcal{L}(\hat{\theta}|X)+k \ln(n)$$

So for what values of $n$ is $2 = \ln(n)$?

Attribution
Source : Link , Question Author : Jan , Answer Author : Stats

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