Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 36

Study guide: Exam MAS-I

You are given the following three statements regarding shrinkage methods in linear regression:

  • I. As tuning parameter, \lambda, increases towards \infty, the penalty term has no effect and a ridge regression will result in the unconstrained estimates.
  • II. For a given dataset, the number of variables in a lasso regression model will always be greater than or equal to the number of variables in a ridge regression model.
  • III. The issue of selecting a tuning parameter for a ridge regression can be addressed with cross-validation.

Determine which of the above statements are 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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