Actuarial Notes

CAS Exam MAS-II Spring 2019, Question 37

Study guide: Exam MAS-II

An actuary fits two models, X and Y, to the same dataset.

  • Model X contains 10 parameters, resulting in a DIC of 1,020.18.
  • The actuary drops two parameters from Model X – the resulting model, Model Y, contains 8 parameters, resulting in a DIC of 1,016.18.
  • In both models, the actuary selects flat and non-informative prior distributions for the parameters.

Consider the following statements:

I. Model Y fits the data more closely than model X. II. Model Y is preferred over Model X to make out-of-sample predictions. III. Model Y is not overfit.

Determine which of the above statements must be true.

  • A) I only
  • B) II only
  • C) III only
  • D) I, II, and III
  • E) The answer is not given by (A), (B), (C), or (D)

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