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Answer: The power law only describes the right tail of the distribution and is approximately true only for high values
The power law in operational risk modeling states that for a random variable v and a high value x: Pr(v > x) ≈ Kx^(-α) Where: - Pr denotes probability - K and α are parameters **Key characteristics:** - **Only describes the right tail** - The power law applies to extreme events in the tail of the distribution, not the entire distribution - **Approximately true for high values** - The relationship holds more accurately for larger values of x - **Used for extreme value theory** - Particularly useful for modeling rare but severe operational losses **Why other options are incorrect:** - A: Operational losses do not follow normal distribution; they typically have heavy tails - B: Power law has been successfully applied to natural disasters (earthquakes, floods) - C: Power law models tail events, not losses in the body of the distribution
Author: LeetQuiz Editorial Team
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Which of the following statements about the power law in operational risk modeling is correct?
A
The power law suggests that operational losses follow a normal distribution
B
The power law is not appropriate for modeling operational losses from natural disasters
C
The power law is used to model operational losses that occur in the body of the distribution
D
The power law only describes the right tail of the distribution and is approximately true only for high values
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