For a model with maximized log likelihood $\ell(\widehat\theta)$, $k$ fitted parameters, and $n$ observations,
$$
\boxed{\operatorname{AIC}=-2\ell(\widehat\theta)+2k,}
\qquad
\boxed{\operatorname{BIC}=-2\ell(\widehat\theta)+k\log n.}
$$
Both combine goodness of fit with a complexity penalty; smaller values are preferred.


Solution

Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 218 / 2 / a / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/iii/paper-218/2/a/solution