Actuarial Notes

CAS Exam MAS-II Fall 2018, Question 24

Study guide: Exam MAS-II

The random variable Y follows a Poisson distribution with mean parameter \lambda. Six posterior samples for \lambda are provided in the table below:

i \lambda_i
1 2
2 3
3 1
4 3
5 4
6 2

The following additional information is provided:

  • The first realized observation from Y, y_1, is 3
  • The contribution from y_1 to the effective number of parameters (p_{WAIC}) is 0.2019

Calculate the contribution to WAIC from y_1.

  • A) Less than 1.05
  • B) Greater than or equal to 1.05 but less than 2.05
  • C) Greater than or equal to 2.05 but less than 3.05
  • D) Greater than or equal to 3.05 but less than 4.05
  • E) Greater than or equal to 4.05

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