Actuarial Notes

CAS Exam 7 Spring 2012, Question 9

Study guide: Exam 7

Part a (0.5 points)

Briefly describe two advantages that non-parametric smoothing models for claims run-off pattern estimates have over models based on parametric curves.

Part b (0.5 points)

Describe the role of the \theta parameter in the incremental claim predictor:

\eta_{ij} = s_{\theta_i}(i) + s_{\theta_j}(\log(j)) + s_{\theta_j}(j)

Part c (0.5 points)

Briefly describe the fit of the model from part b. above when \theta is at each extreme.

Part d (0.5 points)

Identify the resulting models when \theta is at each of its extremes.

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