Actuarial Notes

Exam 8 Practice Question 5

Study guide: Exam 8

An insurer models collision claim frequency, and vehicle make and model has thousands of levels. Following Chalk et al., the modeler uses a single-feature penalized regression with a Gaussian distribution and identity link. The predicted frequency for a level is shrunk from the level's own mean toward the overall mean, with the regularization parameter \lambda chosen by cross-validation.

  • Overall mean frequency: 0.050 claims per vehicle-year.
  • One make and model: 200 vehicle-years, mean frequency 0.080.
  • Selected \lambda = 600.

Calculate the predicted claim frequency for this make and model.

  • A) Less than 0.055
  • B) At least 0.055, but less than 0.059
  • C) At least 0.059, but less than 0.065
  • D) At least 0.065, but less than 0.075
  • E) At least 0.075

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