Understand the derivation and characteristics of the Generalized Extreme Value and the Generalized Pareto distributions.
Free SOA Exam ASTAM (Advanced Short-Term Actuarial Mathematics) lesson in Severity Models. 11 min read, ~1,714 words.
GEV models the maximum of a block of losses; GPD models excesses above a high threshold. GEV unifies Fréchet, Gumbel, and reverse Weibull through one shape: heavy, Gumbel (light), bounded. A bounded tail ( ) has finite endpoint; it is not merely lighter than Gumbel. Fisher-Tippett-Gnedenko: normalized block maxima converge...
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- 1e
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