
Explanation:
The Generalized Extreme Value (GEV) distribution approach, which models block maxima, requires the estimation of three parameters: the location parameter (), the scale parameter (), and the shape parameter (). In contrast, the Peaks-Over-Threshold (POT) approach, which uses the Generalized Pareto Distribution (GPD) to model exceedances over a high threshold, requires estimating only two parameters: the scale parameter () and the shape parameter (). Therefore, the POT approach requires fewer estimated parameters than the GEV approach. Additionally, both approaches share the shape parameter (), which determines the tail behavior of the underlying distribution. Thus, the POT approach requires fewer estimated parameters than the GEV approach and shares one parameter with the GEV.
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Q.4012 The peaks-over-threshold approach is a method used in extreme value theory to analyze the tail behavior of a distribution. This technique is particularly useful for assessing the risk of rare and extreme events. The peaks-over-threshold approach generally requires:
A
fewer estimated parameters than the GEV approach and shares one parameter with the GEV.
B
fewer estimated parameters than the GEV approach and does not share any parameters with the GEV approach
C
more estimated parameters than the GEV approach and shares one parameter with the GEV.
D
more estimated parameters than the GEV approach and does not share any parameters with the GEV approach.
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