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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability Theory | - Fundamental Probability Concepts
|
| Topic 2: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 3: Numerical Methods | - Quantitative Techniques
|
| Topic 4: Linear Algebra | - Matrix Methods
|
| Topic 5: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 6: Calculus | - Differential and Integral Calculus
|
| Topic 7: Risk Measurement Applications | - Quantitative Risk Analysis
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Which of the following statements are true about Maximum Likelihood Estimation?
(i) MLE can be applied even if the error terms are not i.i.d. normal.
(ii) MLE involves integrating a likelihood function or a log-likelihood function.
(iii) MLE yields parameter estimates that are consistent.
- A. (i) and (iii)
- B. (i) and (ii)
- C. (i), (ii), and (iii)
- D. (i) only
Correct Answer: A 🗳️
Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?
- A. 0
- B. 1
- C. 2
- D. 3
Correct Answer: D 🗳️
What is the 40th term in the following series: 4, 14, 30, 52, ...?
- A. 4598
- B. 4960
- C. 240
- D. 4840
Correct Answer: D 🗳️
Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by
- A. F(x)g(x) - F(x)g'(x)dx
- B. f(x)G(x) - F(x)g'(x)dx
- C. F(x)g(x) + f(x)G(x)
- D. F(x)G(x)
Correct Answer: A 🗳️
What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?
- A. ln(x) - x
- B. 1/x
- C. exp(x)
- D. x ln(x) - x
Correct Answer: D 🗳️
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