CAS Exam MAS-II Fall 2019, Question 16
Study guide: Exam MAS-II
Quadratic approximation is employed to estimate the posterior distribution for a model with two correlated parameters, \theta_1 and \theta_2. Summary statistics of marginal posterior distributions are provided below.
| Distribution | Mean | Variance |
|---|---|---|
\theta_1 |
9.04 | 10.24 |
\theta_2 |
2.56 | 0.82 |
\theta_1 - \theta_2 |
6.30 | 11.12 |
Let x be the lower bound of the 96% HPDI for \theta_1 and y be the upper bound of the 96% HPDI for \theta_2.
Calculate x - y.
- A) Less than -3.0
- B) Greater than or equal to -3.0 but less than -1.0
- C) Greater than or equal to -1.0 but less than 1.0
- D) Greater than or equal to 1.0 but less than 3.0
- E) Greater than or equal to 3.0
No current syllabus covers this question; it is kept for the record.
Answer this question and see the worked solution