Actuarial Notes

CAS Exam MAS-I Spring 2018, Question 25

Study guide: Exam MAS-I

Three separate GLMs are fit using the following model form:

g(Y) = \beta_0 + \beta_1 X_1 + \beta_2 X_2

The following error distributions were used for the three GLMs. Each model also used their canonical link functions:

  • Model I: gamma
  • Model II: Poisson
  • Model III: binomial

When fit to the data, all three models resulted in the same parameter estimates:

\hat\beta_0 2.0
\hat\beta_1 1.0
\hat\beta_2 -1.0

Determine the correct ordering of the models' predicted values at observed point (X_1, X_2) = (2, 1).

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

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