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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability Theory | - Fundamental Probability Concepts
|
| Topic 2: Linear Algebra | - Matrix Methods
|
| Topic 3: Numerical Methods | - Quantitative Techniques
|
| Topic 4: Calculus | - Differential and Integral Calculus
|
| Topic 5: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 6: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 7: Regression and Time Series Analysis | - Modeling Techniques
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...
A) One dependent variable, one independent variable, many error variables
B) One dependent variable, many independent variables, one error variable
C) Many dependent variables, one independent variable, one error variable
D) Many dependent variables, many independent variables, many error variables
2. What can be said about observations of random variables that are i.i.d. a normally distributed?
A) The estimated mean divided by the estimated variance has a Chi2-distribution
B) The estimated mean divided by the estimated standard deviation has a t-distribution
C) The estimated mean divided by the estimated standard deviation has a Chi2-distribution
D) The estimated mean divided by the estimated variance has a t-distribution
3. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?
A) 1.92
B) 0.32
C) 0.64
D) 0.96
4. Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?
A) The normal distribution has lower kurtosis than the t distribution.
B) The normal distribution has higher kurtosis than the t distribution.
C) The distributions have the same kurtosis.
D) Which has the higher kurtosis depends on the degrees of freedom of the t distribution.
5. Which statement regarding the matrix below is true?
A) It is negative definite
B) It is not positive definite
C) It is positive semi-definite
D) It is positive definite
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: B | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: B |
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