~ Bayesian information criterion

The Bayesian information criterion (BIC) or Schwarz information criterion (SIC) is a criterion for model selection in a finite set of models. We prefer the model with the lowest BIC. Its general defenition is1

$$ \text{BIC} = \log N\cdot d - 2\ \text{loglik} ,$$

where $N$ is the number of data points $d$ is the number of parameters estimated by the model and $\text{loglik}$ is the log of the maximized likelihood function.


Hastie, T., Tibshirani, R., & Friedman, J. H. (2009). The elements of statistical learning: data mining, inference, and prediction (2nd ed). Springer.

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